Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080s |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6189635174400 = 215 · 33 · 52 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29505,1956897] |
[a1,a2,a3,a4,a6] |
Generators |
[107:116:1] |
Generators of the group modulo torsion |
j |
86691267621512/188892675 |
j-invariant |
L |
4.9712317805485 |
L(r)(E,1)/r! |
Ω |
0.75581323154124 |
Real period |
R |
3.2886641653595 |
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 |
22080bg4 11040f3 66240ba4 110400ct4 |
Quadratic twists by: -4 8 -3 5 |