Atkin-Lehner |
2- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8816n |
Isogeny class |
Conductor |
8816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-184172595698991104 = -1 · 244 · 192 · 29 |
Discriminant |
Eigenvalues |
2- -3 -1 -2 -3 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-106003,-24551726] |
[a1,a2,a3,a4,a6] |
j |
-32160162425274729/44964012621824 |
j-invariant |
L |
0.50352060617826 |
L(r)(E,1)/r! |
Ω |
0.12588015154456 |
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 |
1102b1 35264x1 79344bq1 |
Quadratic twists by: -4 8 -3 |