Atkin-Lehner |
2+ 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12642d |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
19250365390494 = 2 · 3 · 79 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 2 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9482,281982] |
[a1,a2,a3,a4,a6] |
j |
2336752783/477042 |
j-invariant |
L |
1.2996436430468 |
L(r)(E,1)/r! |
Ω |
0.64982182152339 |
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 |
101136cv1 37926bp1 12642o1 |
Quadratic twists by: -4 -3 -7 |