Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8096b |
Isogeny class |
Conductor |
8096 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
103488 |
Modular degree for the optimal curve |
Δ |
1777350193317906944 = 29 · 1111 · 233 |
Discriminant |
Eigenvalues |
2+ -2 1 1 11- -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-375640,61016856] |
[a1,a2,a3,a4,a6] |
Generators |
[-650:5566:1] |
Generators of the group modulo torsion |
j |
11449075068218623688/3471387096324037 |
j-invariant |
L |
3.1494537754063 |
L(r)(E,1)/r! |
Ω |
0.24541813268542 |
Real period |
R |
0.19443957166047 |
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 |
8096a1 16192u1 72864x1 89056l1 |
Quadratic twists by: -4 8 -3 -11 |