Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120er |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4257792 |
Modular degree for the optimal curve |
Δ |
2.7003045470227E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 3 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6752163,6273404962] |
[a1,a2,a3,a4,a6] |
j |
53189206081/4218750 |
j-invariant |
L |
2.2482945849099 |
L(r)(E,1)/r! |
Ω |
0.14051841418379 |
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 |
10890n1 29040do1 87120el1 |
Quadratic twists by: -4 -3 -11 |