Atkin-Lehner |
3- 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19665k |
Isogeny class |
Conductor |
19665 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-4778595 = -1 · 37 · 5 · 19 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 5 4 1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,42,9] |
[a1,a2,a3,a4,a6] |
j |
11239424/6555 |
j-invariant |
L |
2.9454949991015 |
L(r)(E,1)/r! |
Ω |
1.4727474995507 |
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 |
6555m1 98325bf1 |
Quadratic twists by: -3 5 |