Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19890v |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
2114072298000 = 24 · 314 · 53 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4208,79427] |
[a1,a2,a3,a4,a6] |
j |
11301253512121/2899962000 |
j-invariant |
L |
3.0896104160276 |
L(r)(E,1)/r! |
Ω |
0.7724026040069 |
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 |
6630n1 99450x1 |
Quadratic twists by: -3 5 |