From the brilliance that is marvel.wikia.com :
Powers and Abilities
PowersHypnosis: Elektra has demonstrated on occasion the ability to mesmerize others, and as such make them see illusions or other phenomena.
Mind Switch: Elektra's strangest (and perhaps most obscure) gift is her ability to "throw" her mind into those of others. For instance, she was able to track down her enemy, Ken Wind, by temporarily "borrowing" people's minds and acting through them while she hunted around for her prey.
Discern Target: This temporal mind control enables her to literally sniff out the psyche, or intent, of her targets. It saw extensive use during Elektra: Assassin, in which she was heavily reliant on only her ninja powers. It is unknown how long the effect lasts, but Elektra has gone a full two days or more in another person's mind while they zoned out in hers.
Discern Location: This "mind jump" ability might explain why Elektra is always a step ahead of her competition, or seems to know where her target is at all times. An extreme example would be the time she murdered an ambassador in South America. The man was sitting against the wall when Elektra sought out his mind and trusted her katana to enter his heart in the perfect spot. Unerringly, it did: the sword pierced through thick walling and the politician was slain where he sat. The unusual addition of her telepathic skills makes Elektra an omnipresent assassin, to say the least.
Telekinesis: Elektra has occasionally demonstrated low-level telekinesis, though it is possible that this may be an illusion which victims of her mesmerism are led to see.
Telepathic Communication: She can communicate telepathically with individuals possessing similar levels of mental discipline, such as the Chaste.
Assassins Instinct: Nick Fury can attest to the usage of this eerie mind control in person. In the 90's, he conducted scientific experiments on the captured assassin and found strange morphology in her brain that explained her phenomenal reflexes, yet sane rationale. Elektra moves with heightened primal instincts but the more evolved parts of her brain remain intact, preserving her intelligence. In other words, she thinks like a woman and strikes like a cobra.
Abilities
Master Martial Artist: Elektra has mastered many martial arts of China Siam(Thailand) and Japan. While many of them are unstated, Ninjutsu is the most noticeable one.
Weapons Master: She is a master of many different weapons. Among the known are Okinawan Sai which are her usual weapons of choice (it is presumed she may have trained with all Okinawan Kobudo weapons), katanas, knives, sansetsukon (3-sectional staff), and (shuriken) throwing stars.
Peak Human Physical Conditioning: Elektra is an Olympic-level athlete and gymnast, with a near peak level of human strength, speed, agility, reflexes.
Stealth: Due to her ninja training, she can blend in with the shadows and remain undetected by most humans.
Skilled Acrobat: She is an excellent acrobat capable of many difficult feats.
Expert Marksman: Elektra is skilled with throwing weapons and sharpshooting.
Nervous System Control: She can control her nervous system enabling her to deaden her body to physical pain, control her emotions, and even her bleeding rate.
Strength level
Elektra trains daily with exceptional strength. Hand books classify her at Athlete.
Weaknesses
Psychic Feedback: It is unclear what the limitations on her psychic ability are. She may be limited by touching distance or to minds easily affected by persuasion; the last time Elektra tried this trick, it was with S.H.I.E.L.D. Elektra was not born with this interesting gift: she mastered it through training and refinement with The Hand. Their fighters share similar powers, which means each of them including Elektra are mentally linked to The Beast, the relentless demigod of The Hand who has haunted her since she broke rank.
There is a Simpson's quote for every situation in life.

HAHAHAHAHAHAAA!!! That's what I was going to say, aliasbrush. There's no power greater than that!

She's super-duper-hot! (Or at least she was in the movie version)

I don't mean to sound malicious in correcting you If she could read minds and mend them to her will, that would be telepathy. Not telekinesis.
bella gerant alii

In the movie she has the power of Kimagure.
A power that can help forsee the future (which isn't yet mastered) and can even bring back the dead.
Her agility is lightspeed, In the comics she can actually deflect and dodge bullets and In the movie when she organises everything in a flash is a perfect example of her speed.
In the comics and in the movie (more so in comics) she has low level telekinesis where she is able to read minds and mend them to her will, this is how she gets her enemy. The opening scene is a good example when he says "they say just before she kills you she whispers in your ear"
Her use with Sai and stealth is also phoenomenal to the point that she shreds armies at a time without people even noticing her.
Im sure there is some more but I can't think at the moment
Without the mask, Where will you hide? Can't find yourself, lost in your lie