Conductor of a genus 2 curve (awaiting review)

The conductor $N$ of a genus 2 curve $X/\Q$ is the conductor of its Jacobian $\mathrm{Jac}(X)$. This is a positive integer that divides the discriminant of $X$ and is divisible by every prime of bad reduction for $\mathrm{Jac}(X)$ (but not necessarily by every prime of bad reduction for $X$).

The valuation of $N$ at a prime $p$ satisfies the following bounds.

$p$:	$2$	$3$	$5$	$\ge 7$
$v_p(N)$:	$20$	$10$	$9$	$4$