Atkin-Lehner |
2- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8096f |
Isogeny class |
Conductor |
8096 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
8291469824 = 29 · 113 · 233 |
Discriminant |
Eigenvalues |
2- 0 1 3 11- 3 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-587,-3282] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:22:1] |
Generators of the group modulo torsion |
j |
43688592648/16194277 |
j-invariant |
L |
4.868139045617 |
L(r)(E,1)/r! |
Ω |
1.000254814346 |
Real period |
R |
0.81114981499321 |
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 |
8096c1 16192m1 72864i1 89056c1 |
Quadratic twists by: -4 8 -3 -11 |