Atkin-Lehner |
2+ 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
21576g |
Isogeny class |
Conductor |
21576 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
123648 |
Modular degree for the optimal curve |
Δ |
4231366097808384 = 210 · 314 · 29 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 -2 -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63112,5218016] |
[a1,a2,a3,a4,a6] |
Generators |
[30820:-271188:125] [23:1944:1] |
Generators of the group modulo torsion |
j |
27149789451583012/4132193454891 |
j-invariant |
L |
7.2561158394319 |
L(r)(E,1)/r! |
Ω |
0.41959813284385 |
Real period |
R |
0.20586919878873 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43152e1 64728n1 |
Quadratic twists by: -4 -3 |