Atkin-Lehner |
2+ 3- 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110k |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1479909657600 = 210 · 310 · 52 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-97442611200,11707721615451136] |
[a1,a2,a3,a4,a6] |
j |
140359859210252791987044736676659201/2030054400 |
j-invariant |
L |
2.912988071445 |
L(r)(E,1)/r! |
Ω |
0.080916335471643 |
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 |
29370bb4 |
Quadratic twists by: -3 |