Atkin-Lehner |
3- 11+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31977h |
Isogeny class |
Conductor |
31977 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1888209873 = -1 · 312 · 11 · 17 · 19 |
Discriminant |
Eigenvalues |
-1 3- 0 -4 11+ 7 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-500,-4656] |
[a1,a2,a3,a4,a6] |
j |
-18927429625/2590137 |
j-invariant |
L |
1.0021507114515 |
L(r)(E,1)/r! |
Ω |
0.50107535572382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10659c1 |
Quadratic twists by: -3 |