Atkin-Lehner |
2- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
11696k |
Isogeny class |
Conductor |
11696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-47906816 = -1 · 216 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 1 -3 0 -2 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,88,-76] |
[a1,a2,a3,a4,a6] |
Generators |
[14:64:1] |
Generators of the group modulo torsion |
j |
18191447/11696 |
j-invariant |
L |
4.2271311906664 |
L(r)(E,1)/r! |
Ω |
1.1517198266986 |
Real period |
R |
0.91756933688975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1462a1 46784u1 105264bz1 |
Quadratic twists by: -4 8 -3 |