Atkin-Lehner |
3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1989d |
Isogeny class |
Conductor |
1989 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
1526829993 = 312 · 132 · 17 |
Discriminant |
Eigenvalues |
-1 3- 4 2 -6 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2363,44754] |
[a1,a2,a3,a4,a6] |
j |
2000852317801/2094417 |
j-invariant |
L |
1.5007167594952 |
L(r)(E,1)/r! |
Ω |
1.5007167594952 |
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 |
31824z1 127296bh1 663a1 49725p1 |
Quadratic twists by: -4 8 -3 5 |