Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240fe |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-70749257056911360 = -1 · 224 · 313 · 5 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,95892,-5756848] |
[a1,a2,a3,a4,a6] |
j |
510273943271/370215360 |
j-invariant |
L |
0.77809329928795 |
L(r)(E,1)/r! |
Ω |
0.19452332645536 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240bl1 16560ch1 22080cc1 |
Quadratic twists by: -4 8 -3 |