Atkin-Lehner |
2+ 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19890k |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-2029509406080000000 = -1 · 213 · 315 · 57 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 13- 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,161640,-63854784] |
[a1,a2,a3,a4,a6] |
j |
640680045567719039/2783963520000000 |
j-invariant |
L |
0.52929279860698 |
L(r)(E,1)/r! |
Ω |
0.13232319965175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630y1 99450cl1 |
Quadratic twists by: -3 5 |