Atkin-Lehner |
2- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8816j |
Isogeny class |
Conductor |
8816 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-1.0447516919218E+20 |
Discriminant |
Eigenvalues |
2- 1 3 4 5 -1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-449824,505146868] |
[a1,a2,a3,a4,a6] |
j |
-2457494752156086817/25506633103560704 |
j-invariant |
L |
4.4980101643863 |
L(r)(E,1)/r! |
Ω |
0.16064322015665 |
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 |
1102d1 35264v1 79344bw1 |
Quadratic twists by: -4 8 -3 |