Atkin-Lehner |
2+ 3+ 11+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31746d |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2826240 |
Modular degree for the optimal curve |
Δ |
-1.1608326505951E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 11+ 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3346566,-5695575948] |
[a1,a2,a3,a4,a6] |
j |
-4144976744352092761534057/11608326505950667425504 |
j-invariant |
L |
1.8626883359284 |
L(r)(E,1)/r! |
Ω |
0.051741342664712 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95238cp1 |
Quadratic twists by: -3 |