Atkin-Lehner |
2- 3- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
24534u |
Isogeny class |
Conductor |
24534 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
70400 |
Modular degree for the optimal curve |
Δ |
33340589604864 = 225 · 36 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 4 0 -1 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15032,656443] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:1193:1] |
Generators of the group modulo torsion |
j |
515251659466809/45734690816 |
j-invariant |
L |
9.6961623058045 |
L(r)(E,1)/r! |
Ω |
0.63900928541978 |
Real period |
R |
0.303474848552 |
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 |
2726a1 |
Quadratic twists by: -3 |