Atkin-Lehner |
2- 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700cd |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
19031040 |
Modular degree for the optimal curve |
Δ |
1.1207044415531E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1091581500,13881371065625] |
[a1,a2,a3,a4,a6] |
j |
6314146617344431898624/491941593 |
j-invariant |
L |
2.2711386134196 |
L(r)(E,1)/r! |
Ω |
0.12617434408502 |
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 |
42900m1 128700bw1 |
Quadratic twists by: -3 5 |