Atkin-Lehner |
5+ 11+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88825a |
Isogeny class |
Conductor |
88825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-297506681325390625 = -1 · 58 · 119 · 17 · 19 |
Discriminant |
Eigenvalues |
1 2 5+ 4 11+ -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-299500,-68452875] |
[a1,a2,a3,a4,a6] |
j |
-190150044774793921/19040427604825 |
j-invariant |
L |
5.0732017255756 |
L(r)(E,1)/r! |
Ω |
0.10146403436183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17765c1 |
Quadratic twists by: 5 |