Atkin-Lehner |
2+ 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
79430c |
Isogeny class |
Conductor |
79430 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
786240 |
Modular degree for the optimal curve |
Δ |
464609327104000 = 214 · 53 · 136 · 47 |
Discriminant |
Eigenvalues |
2+ -3 5+ 3 1 13+ -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19720,251200] |
[a1,a2,a3,a4,a6] |
j |
175710096801/96256000 |
j-invariant |
L |
0.91594218367038 |
L(r)(E,1)/r! |
Ω |
0.45797106370699 |
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 |
470f1 |
Quadratic twists by: 13 |