Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12650v |
Isogeny class |
Conductor |
12650 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9504 |
Modular degree for the optimal curve |
Δ |
956656250 = 2 · 56 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ -5 11- 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-288,1031] |
[a1,a2,a3,a4,a6] |
j |
169112377/61226 |
j-invariant |
L |
4.3062040621305 |
L(r)(E,1)/r! |
Ω |
1.4354013540435 |
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 |
101200ba1 113850bf1 506c1 |
Quadratic twists by: -4 -3 5 |