Atkin-Lehner |
2- 3- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
24534w |
Isogeny class |
Conductor |
24534 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
1056108253014 = 2 · 318 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 0 -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9464,-348523] |
[a1,a2,a3,a4,a6] |
Generators |
[-3372:4327:64] |
Generators of the group modulo torsion |
j |
128581165173817/1448708166 |
j-invariant |
L |
5.1635758064352 |
L(r)(E,1)/r! |
Ω |
0.48437326257571 |
Real period |
R |
5.3301618869065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8178g1 |
Quadratic twists by: -3 |