Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15312bb |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-691535978496 = -1 · 213 · 37 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11- 3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-712,40436] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-264:1] |
Generators of the group modulo torsion |
j |
-9759185353/168832026 |
j-invariant |
L |
4.222877771972 |
L(r)(E,1)/r! |
Ω |
0.76373577445428 |
Real period |
R |
0.065824276025514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1914c1 61248bj1 45936bj1 |
Quadratic twists by: -4 8 -3 |