Charvet makes quality silk, so if you want it to be un-wrinkled, I would simply untie it and let it hang from the skinny part, so that the larger parts are both hanging down. Leave it for a couple days and the wrinkles will likely disappear.
Don't iron it!
and don't give it to a dry cleaner either. Both those actions will likely leave it in worse shape. $40 for charvet anything is great. don't sweat it.
if you absolutely need to tie it for presentation, there...