Atkin-Lehner |
2- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8096h |
Isogeny class |
Conductor |
8096 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
129536 = 29 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 2 -1 -1 11- 5 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,24] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:6:1] |
Generators of the group modulo torsion |
j |
941192/253 |
j-invariant |
L |
5.5602243618946 |
L(r)(E,1)/r! |
Ω |
3.0746405141746 |
Real period |
R |
1.808414458946 |
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 |
8096e1 16192r1 72864h1 89056e1 |
Quadratic twists by: -4 8 -3 -11 |