Atkin-Lehner |
5+ 7+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
19285c |
Isogeny class |
Conductor |
19285 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-2109296875 = -1 · 57 · 72 · 19 · 29 |
Discriminant |
Eigenvalues |
0 -2 5+ 7+ 2 -1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1281,-18219] |
[a1,a2,a3,a4,a6] |
j |
-232653764952064/2109296875 |
j-invariant |
L |
0.79753384539858 |
L(r)(E,1)/r! |
Ω |
0.39876692269929 |
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 |
96425h1 |
Quadratic twists by: 5 |