Atkin-Lehner |
2- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
544d |
Isogeny class |
Conductor |
544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-147968 = -1 · 29 · 172 |
Discriminant |
Eigenvalues |
2- 0 0 2 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5,-18] |
[a1,a2,a3,a4,a6] |
j |
27000/289 |
j-invariant |
L |
1.6043106621845 |
L(r)(E,1)/r! |
Ω |
1.6043106621845 |
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 |
544a2 1088a2 4896d2 13600c2 |
Quadratic twists by: -4 8 -3 5 |