Atkin-Lehner |
2- 3+ 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670bg |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
26112000 |
Modular degree for the optimal curve |
Δ |
4.1769090656974E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-70660703,-228391210169] |
[a1,a2,a3,a4,a6] |
j |
1982285825742719769772683/2122089653862400000 |
j-invariant |
L |
7.0822589524835 |
L(r)(E,1)/r! |
Ω |
0.052075443947704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670f1 |
Quadratic twists by: -3 |