Atkin-Lehner |
2- 3- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
90480bx |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
6651637200 = 24 · 32 · 52 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-164765,25687350] |
[a1,a2,a3,a4,a6] |
Generators |
[750:124120:27] |
Generators of the group modulo torsion |
j |
30917278167256662016/415727325 |
j-invariant |
L |
9.9637829120254 |
L(r)(E,1)/r! |
Ω |
0.94406978432048 |
Real period |
R |
5.2770372919625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620b1 |
Quadratic twists by: -4 |