Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080bj |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
5652480 = 214 · 3 · 5 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-465,-4017] |
[a1,a2,a3,a4,a6] |
Generators |
[11669:49344:343] |
Generators of the group modulo torsion |
j |
680136784/345 |
j-invariant |
L |
6.5290798458476 |
L(r)(E,1)/r! |
Ω |
1.0279493962774 |
Real period |
R |
6.3515576442694 |
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 |
22080ch1 2760d1 66240bt1 110400z1 |
Quadratic twists by: -4 8 -3 5 |