Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33124b |
Isogeny class |
Conductor |
33124 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
31337111377936 = 24 · 74 · 138 |
Discriminant |
Eigenvalues |
2- 1 3 7+ -3 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-118694,15697709] |
[a1,a2,a3,a4,a6] |
j |
997335808/169 |
j-invariant |
L |
2.5529286807303 |
L(r)(E,1)/r! |
Ω |
0.6382321701828 |
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 |
33124n1 2548c1 |
Quadratic twists by: -7 13 |