Atkin-Lehner |
2- 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19890bi |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
1157581427492880 = 24 · 318 · 5 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26267,78779] |
[a1,a2,a3,a4,a6] |
j |
2749236527524969/1587903192720 |
j-invariant |
L |
4.9725549871287 |
L(r)(E,1)/r! |
Ω |
0.41437958226072 |
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 |
6630k1 99450r1 |
Quadratic twists by: -3 5 |