Atkin-Lehner |
2- 3- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41292g |
Isogeny class |
Conductor |
41292 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
6635789568 = 28 · 36 · 312 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 1 1 6 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6624,-207468] |
[a1,a2,a3,a4,a6] |
j |
172233326592/35557 |
j-invariant |
L |
4.233648921107 |
L(r)(E,1)/r! |
Ω |
0.52920611514653 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4588f1 |
Quadratic twists by: -3 |