Atkin-Lehner |
3- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
12483f |
Isogeny class |
Conductor |
12483 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
671696906781753 = 314 · 192 · 733 |
Discriminant |
Eigenvalues |
-1 3- 2 0 0 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68324,6776966] |
[a1,a2,a3,a4,a6] |
j |
48384925503006457/921394933857 |
j-invariant |
L |
1.0214513232103 |
L(r)(E,1)/r! |
Ω |
0.51072566160513 |
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 |
4161d1 |
Quadratic twists by: -3 |