Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296bd |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2940205986791424 = 214 · 37 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 2 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36156,-442960] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:1352:1] |
Generators of the group modulo torsion |
j |
437640371152/246167259 |
j-invariant |
L |
6.0246556656379 |
L(r)(E,1)/r! |
Ω |
0.37256875546794 |
Real period |
R |
0.67377448427425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999334522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296dc2 7956a2 42432o2 |
Quadratic twists by: -4 8 -3 |