Atkin-Lehner |
2- 3- 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426bw |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
22253799070692 = 22 · 39 · 72 · 193 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1701635,-853947745] |
[a1,a2,a3,a4,a6] |
j |
747472421657357691625/30526473348 |
j-invariant |
L |
3.1724458177179 |
L(r)(E,1)/r! |
Ω |
0.13218524284669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142p1 |
Quadratic twists by: -3 |