Atkin-Lehner |
2- 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19890bh |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-2599770621093750000 = -1 · 24 · 311 · 512 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16322,77583921] |
[a1,a2,a3,a4,a6] |
j |
-659616269778649/3566214843750000 |
j-invariant |
L |
4.9335373502914 |
L(r)(E,1)/r! |
Ω |
0.20556405626214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6630d1 99450o1 |
Quadratic twists by: -3 5 |