Atkin-Lehner |
2- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8096g |
Isogeny class |
Conductor |
8096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1088 |
Modular degree for the optimal curve |
Δ |
4096576 = 26 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 0 2 0 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-169,-840] |
[a1,a2,a3,a4,a6] |
Generators |
[10199:49020:343] |
Generators of the group modulo torsion |
j |
8340725952/64009 |
j-invariant |
L |
4.7441177973777 |
L(r)(E,1)/r! |
Ω |
1.3247344511448 |
Real period |
R |
7.162367964807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8096d1 16192n2 72864j1 89056d1 |
Quadratic twists by: -4 8 -3 -11 |