Atkin-Lehner |
2- 3+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43248n |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-104483669409792 = -1 · 232 · 33 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2648,-489872] |
[a1,a2,a3,a4,a6] |
Generators |
[4873704645040740:67165695136956416:25581107119625] |
Generators of the group modulo torsion |
j |
501133790807/25508708352 |
j-invariant |
L |
6.0561800771609 |
L(r)(E,1)/r! |
Ω |
0.28531735143839 |
Real period |
R |
21.226119079777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5406d1 129744bk1 |
Quadratic twists by: -4 -3 |