Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
990k |
Isogeny class |
Conductor |
990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
779446800 = 24 · 311 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12542,543741] |
[a1,a2,a3,a4,a6] |
j |
299270638153369/1069200 |
j-invariant |
L |
2.7930529566693 |
L(r)(E,1)/r! |
Ω |
1.3965264783347 |
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 |
7920bj1 31680t1 330a1 4950h1 |
Quadratic twists by: -4 8 -3 5 |