Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080bg |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
987240960000 = 212 · 36 · 54 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2505,-7497] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:180:1] |
Generators of the group modulo torsion |
j |
424580764096/241025625 |
j-invariant |
L |
6.9584932874246 |
L(r)(E,1)/r! |
Ω |
0.72863709062273 |
Real period |
R |
0.79583437088432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22080s2 11040i1 66240bp2 110400u2 |
Quadratic twists by: -4 8 -3 5 |