Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
43056m |
Isogeny class |
Conductor |
43056 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
1098040246992 = 24 · 310 · 133 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 6 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5970,-170237] |
[a1,a2,a3,a4,a6] |
j |
2017433344000/94139253 |
j-invariant |
L |
3.2682159685265 |
L(r)(E,1)/r! |
Ω |
0.54470266139195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21528k1 14352m1 |
Quadratic twists by: -4 -3 |