Atkin-Lehner |
2+ 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15138p |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
278400 |
Modular degree for the optimal curve |
Δ |
105027734893987872 = 25 · 38 · 298 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 -4 0 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1888623,-998407539] |
[a1,a2,a3,a4,a6] |
Generators |
[-50444:41201:64] |
Generators of the group modulo torsion |
j |
2042904913/288 |
j-invariant |
L |
2.7040572181458 |
L(r)(E,1)/r! |
Ω |
0.12878547945775 |
Real period |
R |
3.4994333594275 |
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 |
121104cu1 5046o1 15138y1 |
Quadratic twists by: -4 -3 29 |