Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520gg |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-5195612160 = -1 · 214 · 37 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,-3616] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1737:1] |
Generators of the group modulo torsion |
j |
-65536/435 |
j-invariant |
L |
8.3868690768203 |
L(r)(E,1)/r! |
Ω |
0.57065603338854 |
Real period |
R |
3.6742225559334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520cy1 20880bs1 27840cg1 |
Quadratic twists by: -4 8 -3 |