Atkin-Lehner |
2- 3+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
125424j |
Isogeny class |
Conductor |
125424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
646032359860992 = 28 · 39 · 134 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 0 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-644895,199330362] |
[a1,a2,a3,a4,a6] |
j |
5886531653382000/128210329 |
j-invariant |
L |
0.94608879026272 |
L(r)(E,1)/r! |
Ω |
0.47304432618785 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31356b2 125424k2 |
Quadratic twists by: -4 -3 |