Atkin-Lehner |
3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24795f |
Isogeny class |
Conductor |
24795 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
70765797825 = 311 · 52 · 19 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 0 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21555,-1212624] |
[a1,a2,a3,a4,a6] |
Generators |
[1308:46326:1] |
Generators of the group modulo torsion |
j |
1519328199685681/97072425 |
j-invariant |
L |
3.5912483596424 |
L(r)(E,1)/r! |
Ω |
0.39401546524748 |
Real period |
R |
2.2786214478832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8265a1 123975v1 |
Quadratic twists by: -3 5 |