Atkin-Lehner |
5+ 7+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
128975a |
Isogeny class |
Conductor |
128975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1.230001449585E+19 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-891317,-276240534] |
[a1,a2,a3,a4,a6] |
j |
5011878449863664289/787200927734375 |
j-invariant |
L |
0.62809545260892 |
L(r)(E,1)/r! |
Ω |
0.15702379182863 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25795a4 |
Quadratic twists by: 5 |