Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13600p |
Isogeny class |
Conductor |
13600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
17000000 = 26 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-558,-4888] |
[a1,a2,a3,a4,a6] |
j |
19248832/17 |
j-invariant |
L |
3.9287933233978 |
L(r)(E,1)/r! |
Ω |
0.98219833084944 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13600r1 27200cc2 122400be1 544c1 |
Quadratic twists by: -4 8 -3 5 |