Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11968a |
Isogeny class |
Conductor |
11968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
134807552 = 216 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 0 -4 2 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2732,54960] |
[a1,a2,a3,a4,a6] |
Generators |
[29:11:1] |
Generators of the group modulo torsion |
j |
34410094596/2057 |
j-invariant |
L |
3.2552014606378 |
L(r)(E,1)/r! |
Ω |
1.7480762137182 |
Real period |
R |
0.93108110364187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11968t1 1496c1 107712cq1 |
Quadratic twists by: -4 8 -3 |