Atkin-Lehner |
2+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5566a |
Isogeny class |
Conductor |
5566 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
530654068736 = 215 · 113 · 233 |
Discriminant |
Eigenvalues |
2+ 2 3 -3 11+ -3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2026,-2988] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:195:1] |
Generators of the group modulo torsion |
j |
691510653107/398688256 |
j-invariant |
L |
4.3732836632644 |
L(r)(E,1)/r! |
Ω |
0.77549983677744 |
Real period |
R |
2.8196547928607 |
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 |
44528i1 50094bw1 5566d1 128018a1 |
Quadratic twists by: -4 -3 -11 -23 |