Atkin-Lehner |
5- 11+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17765b |
Isogeny class |
Conductor |
17765 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-7289666525845 = -1 · 5 · 11 · 178 · 19 |
Discriminant |
Eigenvalues |
-1 0 5- 4 11+ -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3833,91396] |
[a1,a2,a3,a4,a6] |
j |
6229402432551999/7289666525845 |
j-invariant |
L |
0.99342686165472 |
L(r)(E,1)/r! |
Ω |
0.49671343082736 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88825e3 |
Quadratic twists by: 5 |