Atkin-Lehner |
2+ 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576g |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5.2508079159707E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3189525569,69333624692289] |
[a1,a2,a3,a4,a6] |
Generators |
[4798042125208422716028885556988813879:27037980460694999853722335964336676380:144505726955793306520064945751293] |
Generators of the group modulo torsion |
j |
13688695234222145601259673233/2003024259937536 |
j-invariant |
L |
4.8846160033018 |
L(r)(E,1)/r! |
Ω |
0.094490632815838 |
Real period |
R |
51.694182351507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576dz4 1518s4 |
Quadratic twists by: -4 8 |