Atkin-Lehner |
2+ 3- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90480t |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
624 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-130021249662720000 = -1 · 211 · 313 · 54 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -1 13- -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47560,-16867212] |
[a1,a2,a3,a4,a6] |
Generators |
[226:-2340:1] |
Generators of the group modulo torsion |
j |
5809117569025678/63486938311875 |
j-invariant |
L |
7.5421217723444 |
L(r)(E,1)/r! |
Ω |
0.16208853811087 |
Real period |
R |
0.074568712444685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45240e1 |
Quadratic twists by: -4 |