Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080s |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
64 |
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 |
[-43:184:1] |
Generators of the group modulo torsion |
j |
424580764096/241025625 |
j-invariant |
L |
4.9712317805485 |
L(r)(E,1)/r! |
Ω |
0.75581323154124 |
Real period |
R |
1.6443320826798 |
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 |
22080bg2 11040f1 66240ba2 110400ct2 |
Quadratic twists by: -4 8 -3 5 |