Atkin-Lehner |
2- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11696i |
Isogeny class |
Conductor |
11696 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-11696 = -1 · 24 · 17 · 43 |
Discriminant |
Eigenvalues |
2- -1 -3 0 -4 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3,4] |
[a1,a2,a3,a4,a6] |
Generators |
[0:2:1] [4:8:1] |
Generators of the group modulo torsion |
j |
131072/731 |
j-invariant |
L |
4.6274353182587 |
L(r)(E,1)/r! |
Ω |
2.904130934989 |
Real period |
R |
1.5933976194075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2924a1 46784x1 105264br1 |
Quadratic twists by: -4 8 -3 |