Atkin-Lehner |
2- 3- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
110448bm |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
34783167744 = 28 · 311 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 2 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4224,-105284] |
[a1,a2,a3,a4,a6] |
j |
44660948992/186381 |
j-invariant |
L |
2.3693951177555 |
L(r)(E,1)/r! |
Ω |
0.5923489332758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27612c1 36816o1 |
Quadratic twists by: -4 -3 |