Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120ey |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12773376 |
Modular degree for the optimal curve |
Δ |
2.0157665431343E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11- 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14897883,-4821310582] |
[a1,a2,a3,a4,a6] |
j |
571305535801/314928000 |
j-invariant |
L |
0.98672225644444 |
L(r)(E,1)/r! |
Ω |
0.082226859411596 |
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 |
10890bv1 29040ct1 87120ex1 |
Quadratic twists by: -4 -3 -11 |