Atkin-Lehner |
2- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
8816g |
Isogeny class |
Conductor |
8816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-3079152158715904 = -1 · 212 · 197 · 292 |
Discriminant |
Eigenvalues |
2- 2 -1 1 3 -2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38021,3920429] |
[a1,a2,a3,a4,a6] |
Generators |
[17724:436537:27] |
Generators of the group modulo torsion |
j |
-1484040633094144/751746132499 |
j-invariant |
L |
5.9308073952542 |
L(r)(E,1)/r! |
Ω |
0.41880855247029 |
Real period |
R |
7.0805710154104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
551c1 35264bh1 79344bc1 |
Quadratic twists by: -4 8 -3 |