Atkin-Lehner |
2- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8816i |
Isogeny class |
Conductor |
8816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-2810250788864 = -1 · 228 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 1 -1 0 -3 -5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5776,-189164] |
[a1,a2,a3,a4,a6] |
j |
-5203798902289/686096384 |
j-invariant |
L |
1.0872671576629 |
L(r)(E,1)/r! |
Ω |
0.27181678941574 |
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 |
1102c1 35264t1 79344bo1 |
Quadratic twists by: -4 8 -3 |