Atkin-Lehner |
2- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
67280x |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
6514560 |
Modular degree for the optimal curve |
Δ |
2.622731913585E+23 |
Discriminant |
Eigenvalues |
2- 0 5- -1 -2 0 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31778867,-64400764174] |
[a1,a2,a3,a4,a6] |
j |
1732187934441/128000000 |
j-invariant |
L |
2.2997994567063 |
L(r)(E,1)/r! |
Ω |
0.063883318196207 |
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 |
8410e1 67280v1 |
Quadratic twists by: -4 29 |