Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
118580h |
Isogeny class |
Conductor |
118580 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-46686613139936000 = -1 · 28 · 53 · 77 · 116 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31621,-10608079] |
[a1,a2,a3,a4,a6] |
j |
-65536/875 |
j-invariant |
L |
0.30639453741678 |
L(r)(E,1)/r! |
Ω |
0.15319737868817 |
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 |
16940d1 980d1 |
Quadratic twists by: -7 -11 |