Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5256c |
Isogeny class |
Conductor |
5256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-2413371366144 = -1 · 28 · 317 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 4 2 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3084,-35228] |
[a1,a2,a3,a4,a6] |
j |
17381983232/12931731 |
j-invariant |
L |
3.6553782916367 |
L(r)(E,1)/r! |
Ω |
0.45692228645458 |
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 |
10512e1 42048k1 1752j1 |
Quadratic twists by: -4 8 -3 |