Atkin-Lehner |
2+ 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16992a |
Isogeny class |
Conductor |
16992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-9582162624 = -1 · 26 · 36 · 593 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 0 0 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4653,-122256] |
[a1,a2,a3,a4,a6] |
j |
-238789577664/205379 |
j-invariant |
L |
0.57802136596104 |
L(r)(E,1)/r! |
Ω |
0.28901068298052 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16992d1 33984bu1 1888d1 |
Quadratic twists by: -4 8 -3 |