Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43296q |
Isogeny class |
Conductor |
43296 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
34796215872 = 26 · 35 · 113 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-107838,-13666320] |
[a1,a2,a3,a4,a6] |
j |
2167021596455416000/543690873 |
j-invariant |
L |
3.9518233998356 |
L(r)(E,1)/r! |
Ω |
0.26345489333014 |
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 |
43296c1 86592bx1 129888o1 |
Quadratic twists by: -4 8 -3 |