Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928ep |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2749517955072 = 215 · 310 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10380,399152] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:648:1] |
Generators of the group modulo torsion |
j |
5177717000/115101 |
j-invariant |
L |
5.2916003618098 |
L(r)(E,1)/r! |
Ω |
0.80636480708812 |
Real period |
R |
0.82028634683699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928dr2 58464k2 38976bf2 |
Quadratic twists by: -4 8 -3 |