Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5566i |
Isogeny class |
Conductor |
5566 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
29988984608 = 25 · 116 · 232 |
Discriminant |
Eigenvalues |
2- 0 4 4 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20593,1142529] |
[a1,a2,a3,a4,a6] |
j |
545138290809/16928 |
j-invariant |
L |
5.4827177675993 |
L(r)(E,1)/r! |
Ω |
1.0965435535199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44528o2 50094x2 46a2 128018t2 |
Quadratic twists by: -4 -3 -11 -23 |