Atkin-Lehner |
2- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57536y |
Isogeny class |
Conductor |
57536 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
891469187615031296 = 230 · 29 · 315 |
Discriminant |
Eigenvalues |
2- 2 3 2 4 2 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4497569,-3669477823] |
[a1,a2,a3,a4,a6] |
j |
38381097689522696233/3400685072384 |
j-invariant |
L |
8.2936820796605 |
L(r)(E,1)/r! |
Ω |
0.10367102604884 |
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 |
57536k1 14384f1 |
Quadratic twists by: -4 8 |