Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11968u |
Isogeny class |
Conductor |
11968 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-24618176 = -1 · 26 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 1 -3 -2 11- -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,43,-199] |
[a1,a2,a3,a4,a6] |
Generators |
[32:187:1] |
Generators of the group modulo torsion |
j |
134217728/384659 |
j-invariant |
L |
3.7848224382997 |
L(r)(E,1)/r! |
Ω |
1.0913405530667 |
Real period |
R |
0.57800815514831 |
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 |
11968b1 2992f1 107712ec1 |
Quadratic twists by: -4 8 -3 |