Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
58080bn |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
5.1478071449166E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67369210,-209993118608] |
[a1,a2,a3,a4,a6] |
j |
298244193811346574784/4540317078515625 |
j-invariant |
L |
1.6878534518612 |
L(r)(E,1)/r! |
Ω |
0.052745420395133 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58080w1 116160cr2 5280e1 |
Quadratic twists by: -4 8 -11 |