Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928ex |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
35942004210696192 = 215 · 38 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129036,-15332816] |
[a1,a2,a3,a4,a6] |
Generators |
[-226:1512:1] |
Generators of the group modulo torsion |
j |
9946697822216/1504613061 |
j-invariant |
L |
6.0316427165852 |
L(r)(E,1)/r! |
Ω |
0.25445249777385 |
Real period |
R |
0.74076237015228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999761877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928du3 58464m3 38976bu3 |
Quadratic twists by: -4 8 -3 |