Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5566g |
Isogeny class |
Conductor |
5566 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
209989389569696 = 25 · 1111 · 23 |
Discriminant |
Eigenvalues |
2- 0 -1 -1 11- 7 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113158,-14606347] |
[a1,a2,a3,a4,a6] |
j |
90452336967369/118533536 |
j-invariant |
L |
2.6032310429609 |
L(r)(E,1)/r! |
Ω |
0.26032310429609 |
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 |
44528k1 50094p1 506d1 128018p1 |
Quadratic twists by: -4 -3 -11 -23 |