Atkin-Lehner |
3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
90387r |
Isogeny class |
Conductor |
90387 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
10611992301273 = 38 · 117 · 83 |
Discriminant |
Eigenvalues |
1 3- 2 0 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-186786,-31024625] |
[a1,a2,a3,a4,a6] |
j |
558051585337/8217 |
j-invariant |
L |
1.8371883871608 |
L(r)(E,1)/r! |
Ω |
0.2296485718333 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30129d1 8217j1 |
Quadratic twists by: -3 -11 |