Atkin-Lehner |
2- 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16368n |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.7543256346959E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1647504,158376384] |
[a1,a2,a3,a4,a6] |
j |
120737856347074599697/67244278190817024 |
j-invariant |
L |
0.30111928135699 |
L(r)(E,1)/r! |
Ω |
0.1505596406785 |
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 |
2046j2 65472co2 49104bn2 |
Quadratic twists by: -4 8 -3 |