Atkin-Lehner |
2+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
87616v |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1534464 |
Modular degree for the optimal curve |
Δ |
8317551346884928 = 26 · 379 |
Discriminant |
Eigenvalues |
2+ -3 0 -3 3 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-506530,-138687914] |
[a1,a2,a3,a4,a6] |
j |
1728000 |
j-invariant |
L |
1.4317043108189 |
L(r)(E,1)/r! |
Ω |
0.17896303934994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87616t1 43808r1 87616w1 |
Quadratic twists by: -4 8 37 |