Atkin-Lehner |
2+ 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19890a |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-664790630400 = -1 · 218 · 33 · 52 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2325,-57739] |
[a1,a2,a3,a4,a6] |
j |
-51491303564427/24621875200 |
j-invariant |
L |
1.3443030269567 |
L(r)(E,1)/r! |
Ω |
0.33607575673917 |
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 |
19890s1 99450ca1 |
Quadratic twists by: -3 5 |