The **local invariants** of a genus 2 curve over $\Q$ include, for each prime $p$ of bad reduction:

- The $p$-adic valuation $\mathrm{ord}_p(\Delta)$ of its discriminant;
- The $p$-adic valuation $\mathrm{ord}_p(N)$ of the conductor of its Jacobian;
- The Tamagawa number $c_p$ ;
- The L-factor at $p$.

**Authors:**

**Knowl status:**

- Review status: reviewed
- Last edited by John Cremona on 2020-01-08 04:13:46

**Referred to by:**

**History:**(expand/hide all)

**Differences**(show/hide)