Atkin-Lehner |
2+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
11696c |
Isogeny class |
Conductor |
11696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
2325539072 = 28 · 173 · 432 |
Discriminant |
Eigenvalues |
2+ -2 -4 -2 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1580,-24596] |
[a1,a2,a3,a4,a6] |
j |
1705021456336/9084137 |
j-invariant |
L |
0.75744600978034 |
L(r)(E,1)/r! |
Ω |
0.75744600978034 |
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 |
5848a1 46784v1 105264r1 |
Quadratic twists by: -4 8 -3 |