Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416fk |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
692484300689965056 = 216 · 312 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1445484,-667711280] |
[a1,a2,a3,a4,a6] |
j |
6991270724335972/14494474449 |
j-invariant |
L |
0.5508207823317 |
L(r)(E,1)/r! |
Ω |
0.13770519574634 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52416da2 13104n2 17472ct2 |
Quadratic twists by: -4 8 -3 |