Atkin-Lehner |
2- 3- 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672bx |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
47280070656 = 213 · 37 · 7 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 1 13- 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-904,-652] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:54:1] |
Generators of the group modulo torsion |
j |
19968681097/11542986 |
j-invariant |
L |
11.651241056981 |
L(r)(E,1)/r! |
Ω |
0.95213887910753 |
Real period |
R |
0.87406524565898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15834e1 |
Quadratic twists by: -4 |