Atkin-Lehner |
3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1989a |
Isogeny class |
Conductor |
1989 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17969614533 = 314 · 13 · 172 |
Discriminant |
Eigenvalues |
1 3- 0 -2 2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-882,-7533] |
[a1,a2,a3,a4,a6] |
j |
104154702625/24649677 |
j-invariant |
L |
1.7820407287574 |
L(r)(E,1)/r! |
Ω |
0.89102036437871 |
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 |
31824r2 127296u2 663c2 49725q2 |
Quadratic twists by: -4 8 -3 5 |