Atkin-Lehner |
2- 3+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
10956a |
Isogeny class |
Conductor |
10956 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-2103552 = -1 · 28 · 32 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 0 5 11- 5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12,-72] |
[a1,a2,a3,a4,a6] |
j |
686000/8217 |
j-invariant |
L |
2.5651123116874 |
L(r)(E,1)/r! |
Ω |
1.2825561558437 |
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 |
43824y1 32868e1 120516a1 |
Quadratic twists by: -4 -3 -11 |