I found frustratingly little new information on the Jove. For a school that celebrates a link to the Jove empire, they do not seem to have special knowledge about them that cannot be obtained at Hedion University.
Something that I did find and which relates to my quest, is that under the Jovian Directorate of the third empire, there was an agency called the Lost and Found Section Unit. This agency was in charge mostly of searching and retrieving missing Jove technology or artifacts that had resurfaced in the wrong hands. Whatever they considered to be the wrong hands. More often than not, that would be us Amarr.
The agents of this section unit, referred to as the 'Lost and Founders', were not just looking for Jove technology. In fact they were going after any advanced technology that would be harmful to a lesser advanced society that came across it. Think of cavemen finding a suitcase nuclear weapon. The job of the Lost and Founders was to identify and retrieve things like the suitcase nuke in the cavemen society.
They seem to have been quite interested in our relics as well, especially the Ametat and Avetat. They do not believe that these were a gift from God, brought by the Sefrim to emperor Amash-Akura. To them, these relics must be potentially harmful advanced weapons that the emperor has received from renegate aliens, perhaps Jovian dissidents. As they fixated on this blasphemy, they have searched for the sceptre and crown around the cluster.
It is telling that they have been particularly active in areas and systems where also professor Bathana has been looking.