Does the Stone of Jordan have any special properties or significance in Diablo 3?

When Diablo 2 was first released, there was a sequence you had to go through in order to get the unique rings. In order to get the Stone of Jordan, you needed to first get the Manald Heal and Nagelrings.

All three rings are back in Diablo 3 (plus a bunch more).

The Stone of Jordan (SoJ) became a unit of currency throughout Diablo 2, to the point where Blizzard created a special event that could be triggered by selling enough SoJ's.

Does the Stone of Jordan in Diablo 3 have any special properties or significance that sets aside from other items in the game?

2 Answers

No, not any that is known at this time.

With the expansion Reaper of Souls. Stone of Jordan has a guaranteed chance to roll

Increases damage against elites by 25–30%

---

One of 7 Magic Properties (varies)

Physical skills deal 15–20% more damage.
Poison skills deal 15–20% more damage.
Lightning skills deal 15–20% more damage.
Cold skills deal 15–20% more damage.
Fire skills deal 15–20% more damage.
Arcane skills deal 15–20% more damage.
Holy skills deal 15–20% more damage.

This somewhat sets it apart from other rings. Other than that, it is just a ring.