Amulet of the Moon

Walkthrough
The Moon Amulet might be found in the course of your normal exploring of Skyrim. Otherwise, speaking with Kharjo can initiate this quest.

Find the Moon Amulet inside 
He will specify the location. The amulet can be found at one of the following randomly chosen locations:

Return the Moon Amulet to Kharjo
Once found, return to Kharjo with the amulet.

Das Mondamulett