Answer

In Jain Dharma, no Tirthankar rules Jupiter or Mercury.

Explanation

Tirthankars are spiritual teachers and liberated guides, not planetary rulers. In Jain tradition, planets and celestial bodies are part of the worldly cosmos, but they are not governed by Tirthankars.

If you are asking from a Navagraha point of view, that is generally not a Jain concept.

Spiritual Understanding

Jainism teaches that the soul’s progress depends on right faith, right knowledge, and right conduct, not on the control of planets. A Tirthankar shows the path to liberation, but does not control celestial bodies.

Takeaway

So the simple answer is: none — no Tirthankar rules Jupiter or Mercury in Jain Dharma.