Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15138z |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69600 |
Modular degree for the optimal curve |
Δ |
729359270097138 = 2 · 36 · 298 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 6 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22865,-281617] |
[a1,a2,a3,a4,a6] |
j |
3625/2 |
j-invariant |
L |
3.324185079314 |
L(r)(E,1)/r! |
Ω |
0.41552313491425 |
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 |
121104cl1 1682d1 15138d1 |
Quadratic twists by: -4 -3 29 |