Atkin-Lehner |
3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22425p |
Isogeny class |
Conductor |
22425 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-206464869502734375 = -1 · 32 · 58 · 136 · 233 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 2 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,103499,17719523] |
[a1,a2,a3,a4,a6] |
j |
7847262474528959/13213751648175 |
j-invariant |
L |
3.8997070988718 |
L(r)(E,1)/r! |
Ω |
0.21665039438176 |
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 |
67275n1 4485b1 |
Quadratic twists by: -3 5 |