Atkin-Lehner |
2- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
8096c |
Isogeny class |
Conductor |
8096 |
Conductor |
∏ cp |
3 |
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 |
[2:46:1] |
Generators of the group modulo torsion |
j |
43688592648/16194277 |
j-invariant |
L |
3.9582338811087 |
L(r)(E,1)/r! |
Ω |
1.1967821751741 |
Real period |
R |
1.102465695991 |
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 |
8096f1 16192ba1 72864m1 89056f1 |
Quadratic twists by: -4 8 -3 -11 |