Atkin-Lehner |
2- 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
16992h |
Isogeny class |
Conductor |
16992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-198194688 = -1 · 29 · 38 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 3 5 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,722] |
[a1,a2,a3,a4,a6] |
j |
-125000/531 |
j-invariant |
L |
3.1133137105993 |
L(r)(E,1)/r! |
Ω |
1.5566568552997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16992f1 33984bg1 5664a1 |
Quadratic twists by: -4 8 -3 |