Atkin-Lehner |
2+ 3- 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110k |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8.6632392212223E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6089656320,182966265011200] |
[a1,a2,a3,a4,a6] |
j |
-34258988276876079443876743249921/11883730070263748400000000 |
j-invariant |
L |
2.912988071445 |
L(r)(E,1)/r! |
Ω |
0.040458167735821 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29370bb3 |
Quadratic twists by: -3 |