Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
79524i |
Isogeny class |
Conductor |
79524 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1096704 |
Modular degree for the optimal curve |
Δ |
2502202177371038976 = 28 · 323 · 473 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -1 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-464736,-95278588] |
[a1,a2,a3,a4,a6] |
j |
572903653376/129140163 |
j-invariant |
L |
4.4592815900227 |
L(r)(E,1)/r! |
Ω |
0.18580340017069 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26508c1 79524k1 |
Quadratic twists by: -3 -47 |