Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
28320k |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
1792125000000000 = 29 · 35 · 512 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-158136,-24171336] |
[a1,a2,a3,a4,a6] |
Generators |
[-1830:2331:8] |
Generators of the group modulo torsion |
j |
854178715151999432/3500244140625 |
j-invariant |
L |
5.8519261469934 |
L(r)(E,1)/r! |
Ω |
0.23946866627212 |
Real period |
R |
4.8874253472005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28320a3 56640ca4 84960bi3 |
Quadratic twists by: -4 8 -3 |