Atkin-Lehner |
2- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5566d |
Isogeny class |
Conductor |
5566 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
940086052664016896 = 215 · 119 · 233 |
Discriminant |
Eigenvalues |
2- 2 3 3 11+ 3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-245209,2751079] |
[a1,a2,a3,a4,a6] |
j |
691510653107/398688256 |
j-invariant |
L |
7.1286794472388 |
L(r)(E,1)/r! |
Ω |
0.23762264824129 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44528j1 50094m1 5566a1 128018o1 |
Quadratic twists by: -4 -3 -11 -23 |