Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416fk |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
1437966286848 = 214 · 39 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1444764,-668410832] |
[a1,a2,a3,a4,a6] |
j |
27923315228972368/120393 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
52416da1 13104n1 17472ct1 |
Quadratic twists by: -4 8 -3 |