Atkin-Lehner |
2- 3- 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
52452i |
Isogeny class |
Conductor |
52452 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1764414574704 = -1 · 24 · 36 · 31 · 474 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -2 -2 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1167,-62039] |
[a1,a2,a3,a4,a6] |
Generators |
[56:423:1] |
Generators of the group modulo torsion |
j |
15069150464/151270111 |
j-invariant |
L |
4.5890479826421 |
L(r)(E,1)/r! |
Ω |
0.41329541210741 |
Real period |
R |
0.46264808900998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5828d1 |
Quadratic twists by: -3 |