So How Did Lovborg Really Die?

Well, it seems a little ambiguous how Lovborg died, and I would love to hear what everyone thinks about that. I personally think he shot himself, honestly. He may have wanted to look like he didn't, but he probably did. However, it does seem rather likely that Madam Diana killed him because Judge Brack's story of Lovborg's death makes sense. Speaking of Judge Brack, doesn't it seem kind of wierd that he seems to know everything about the death of Lovborg? He's not a detective, so why is he so informed? Could it be that he is the one who actually killed Lovborg? Who knows???? I want to hear what you guys have to say about this.