Atkin-Lehner |
2- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
44096r |
Isogeny class |
Conductor |
44096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14848 |
Modular degree for the optimal curve |
Δ |
-1174011904 = -1 · 217 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 0 3 -2 5 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,244,-752] |
[a1,a2,a3,a4,a6] |
j |
12256974/8957 |
j-invariant |
L |
3.4590989823 |
L(r)(E,1)/r! |
Ω |
0.86477474556693 |
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 |
44096h1 11024a1 |
Quadratic twists by: -4 8 |