I picked it this evening beneath an oak, in France, Nantes :
I tried an image search with Google, and it seems I picked a finger of a dead hand :)
What is its name, and is it edible?
The shape, colour and scales on the hat suggest something in the genus Coprinus.
Some species are edible, but it is not recommended to have them with wine. I would not advise you to eat them without further live identification by someone knowledgeable. Photo identification is not reliable.