Atkin-Lehner |
2- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
129712n |
Isogeny class |
Conductor |
129712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
125568 |
Modular degree for the optimal curve |
Δ |
32143671296 = 215 · 114 · 67 |
Discriminant |
Eigenvalues |
2- 2 3 1 11- 2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2944,-59904] |
[a1,a2,a3,a4,a6] |
Generators |
[-6040125:3981744:205379] |
Generators of the group modulo torsion |
j |
47071057/536 |
j-invariant |
L |
14.568391366342 |
L(r)(E,1)/r! |
Ω |
0.64856228885911 |
Real period |
R |
11.231296974469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014488 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16214g1 129712o1 |
Quadratic twists by: -4 -11 |