Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11968t |
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 |
[114:1056:1] |
Generators of the group modulo torsion |
j |
34410094596/2057 |
j-invariant |
L |
2.6932472913269 |
L(r)(E,1)/r! |
Ω |
0.6603602734327 |
Real period |
R |
2.0392257072998 |
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 |
11968a1 2992a1 107712ee1 |
Quadratic twists by: -4 8 -3 |