Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080bw |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6091529456885760000 = 216 · 312 · 54 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-567521,-113735679] |
[a1,a2,a3,a4,a6] |
Generators |
[29415:638848:27] |
Generators of the group modulo torsion |
j |
308453964046598884/92949363050625 |
j-invariant |
L |
3.8603395325566 |
L(r)(E,1)/r! |
Ω |
0.17800069024653 |
Real period |
R |
5.4218041615599 |
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 |
22080w4 5520k3 66240fl4 110400hr4 |
Quadratic twists by: -4 8 -3 5 |