Atkin-Lehner |
2- 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
58032bk |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-114393606912 = -1 · 28 · 38 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 2 3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1704,-31588] |
[a1,a2,a3,a4,a6] |
j |
-2932006912/612963 |
j-invariant |
L |
4.4090015818146 |
L(r)(E,1)/r! |
Ω |
0.3674167985445 |
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 |
14508l1 19344o1 |
Quadratic twists by: -4 -3 |