Atkin-Lehner |
2- 3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
17748d |
Isogeny class |
Conductor |
17748 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
37728059472 = 24 · 314 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1236,-13871] |
[a1,a2,a3,a4,a6] |
j |
17903239168/3234573 |
j-invariant |
L |
2.4455662868045 |
L(r)(E,1)/r! |
Ω |
0.81518876226816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70992bb1 5916c1 |
Quadratic twists by: -4 -3 |