Atkin-Lehner |
2- 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
17688i |
Isogeny class |
Conductor |
17688 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-5094144 = -1 · 28 · 33 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11+ 1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,-109] |
[a1,a2,a3,a4,a6] |
Generators |
[5:6:1] |
Generators of the group modulo torsion |
j |
-1024/19899 |
j-invariant |
L |
4.9578526184946 |
L(r)(E,1)/r! |
Ω |
1.1052241367561 |
Real period |
R |
0.74763909171795 |
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 |
35376d1 53064h1 |
Quadratic twists by: -4 -3 |