Atkin-Lehner |
2- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
40256z |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
175194112 = 214 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 1 -2 1 -1 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-629,-6253] |
[a1,a2,a3,a4,a6] |
j |
1682464768/10693 |
j-invariant |
L |
1.9071095803629 |
L(r)(E,1)/r! |
Ω |
0.95355479020203 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40256m1 10064c1 |
Quadratic twists by: -4 8 |