What is the Avo's Tear ?

It is basically the good version of the Sword of Aeons. Same looks, augmentations, and damage.

Avo's Tear is a sword. You get it if you choose to throw the Sword of Aeons into the vortex. I'm not sure, but I think it may be the same power as the Sword of Aeons. When I got it, it made me fully good. It comes with a Health Augmentation (Regenerates Health when weapon is equipped), a Mana Augmentation Augmentation (Regenerates Mana quicker when weapon is equipped) and an Experience Augmentation (Gives you extra experience with the weapon). It also sells for a good price. The Sentinus is more powerful (You get it by donating 30,000 Gold at the Temple of Avo) and the Bereaver is also.

The avo's tear is a sword almost exactly like the sword of aeons.
How you get it is by throwing away the sword of aeons then going to the boasting platform outside the guild. Skip through the cutscene unless you want to watch it, but after it ends go into the guild and there should be a green dot in mazes quarters. Talk to the book case and you should start reading a book, you can just skip through it, a green dot will then be outside in the courtyard. Talk to the empty grave. A short cutscene will play, you can skip it to, when it ends you will recieve the avo's tear.

Avo's Tear is a sword that was imbued with the essence of the three dead legendary heroes in the Guild. It is over-glorified, and is far from being the most powerful weapon.