Atkin-Lehner |
2- 3+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43248p |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-387413508096 = -1 · 216 · 38 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 0 -1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1288,23664] |
[a1,a2,a3,a4,a6] |
Generators |
[2:162:1] |
Generators of the group modulo torsion |
j |
57646656647/94583376 |
j-invariant |
L |
2.5766144327863 |
L(r)(E,1)/r! |
Ω |
0.64908742944719 |
Real period |
R |
0.99239883407679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5406e1 129744bm1 |
Quadratic twists by: -4 -3 |