I'm still pretty new to the whole straight razor shaving experience guys...

I bought an Illinois 3" strop for a decent price on Amazon. It didn't come with any directions for conditioning, but it has a slight curl to it, although I leave it hanging always to try to straighten it out. What should I do? Simply give it a good coating of leather conditioner? Should I then put it in a warm oven for an hour or so like I did for my baseball glovesas a kid? Just wondering what the best method is... Thanks guys!