Atkin-Lehner |
2+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5566b |
Isogeny class |
Conductor |
5566 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
3671694811136 = 213 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ -2 -1 1 11- 3 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10409,-399060] |
[a1,a2,a3,a4,a6] |
j |
70393838689/2072576 |
j-invariant |
L |
0.94703104108212 |
L(r)(E,1)/r! |
Ω |
0.47351552054106 |
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 |
44528v1 50094cd1 506f1 128018i1 |
Quadratic twists by: -4 -3 -11 -23 |