Atkin-Lehner |
3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1989b |
Isogeny class |
Conductor |
1989 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
462866157 = 36 · 133 · 172 |
Discriminant |
Eigenvalues |
1 3- -4 -2 -6 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-105459,-13155436] |
[a1,a2,a3,a4,a6] |
j |
177930109857804849/634933 |
j-invariant |
L |
0.52985671811654 |
L(r)(E,1)/r! |
Ω |
0.26492835905827 |
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 |
31824ba2 127296bf2 221a2 49725s2 |
Quadratic twists by: -4 8 -3 5 |