This is the Detailed Daedalus, with a few changes and a new name. The Odyssey has played a huge role in the fight against the Ori, and has stood up to Ori battlecruisers more than once. When a ZPM was installed, the Odyssey gained a boost in shield strength along with the ability to cloak. The Odyssey will also be featured in the upcoming Stargate movie, Stargate: The Ark of Truth.
The events in the series finale came as quite a shock to me. I couldn't believe the Asgard are gone. Thor informs SG-1 that the entire Asgard race has a disease that will kill them all soon, so instead of dying slowly and having their technology plundered, they gave their most advanced technology to Earth and then all committed suicide. The Odyssey travels to Orilla where the Asgard install new weapons, shields, engines, computers, and more. The Odyssey succeeds in destroying two Ori battlecruisers with two more being destroyed when Orilla self-destructed. The Asgard left the Odyssey as their legacy to the galaxy.
My Odyssey has two Asgard energy weapons and an Asgard propulsion system. That is all that is visible.