Atkin-Lehner |
2+ 11+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125488c |
Isogeny class |
Conductor |
125488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
800768 |
Modular degree for the optimal curve |
Δ |
156505991324672 = 210 · 118 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ 2 -4 4 11+ 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39280,2948496] |
[a1,a2,a3,a4,a6] |
j |
6545596789817284/152837882153 |
j-invariant |
L |
4.6038654300882 |
L(r)(E,1)/r! |
Ω |
0.57548310242537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62744d1 |
Quadratic twists by: -4 |