Atkin-Lehner |
2- 3- 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670bq |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
24192000 |
Modular degree for the optimal curve |
Δ |
1.9891481014687E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41251073,-76112871919] |
[a1,a2,a3,a4,a6] |
j |
10648830710801882307420361/2728598218750000000000 |
j-invariant |
L |
4.8558806733236 |
L(r)(E,1)/r! |
Ω |
0.06069850959615 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13630f1 |
Quadratic twists by: -3 |