Atkin-Lehner |
2- 3- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
90480bz |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
2442960 = 24 · 34 · 5 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-625,5810] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:84:1] |
Generators of the group modulo torsion |
j |
1690201440256/152685 |
j-invariant |
L |
7.5558712183148 |
L(r)(E,1)/r! |
Ω |
2.4645415394237 |
Real period |
R |
3.0658323653086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620d1 |
Quadratic twists by: -4 |