Atkin-Lehner |
2- 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
43992i |
Isogeny class |
Conductor |
43992 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
949248 |
Modular degree for the optimal curve |
Δ |
4585200199632 = 24 · 310 · 133 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14559546,-21383060411] |
[a1,a2,a3,a4,a6] |
j |
29263057443269720209408/393107013 |
j-invariant |
L |
0.92745712623866 |
L(r)(E,1)/r! |
Ω |
0.077288093849179 |
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 |
87984j1 14664b1 |
Quadratic twists by: -4 -3 |