Percy Jackson goes to Hogwarts

Yes, another crossover, to be lost in the already overflowing sea of HP meets PJO fanfics. But, it's fun to write, so guess what? I don't care!
Percy Jackson, son of Poseidon, is sent to Hogwarts, a magical boarding school run by the son of Hecate, to protect The Boy Who Lived. But Harry Potter and his friends grow increasingly suspicious of the new kid - who exactly was he? They constantly pepper him with questions, and he can't dodge them all. Who knows how long it'll take Percy to snap and tell them his secret. But, the question is, what will happen then?
Set during the Triwizard tournament, after the War with Gaia.