Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17784k |
Isogeny class |
Conductor |
17784 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7882437888 = 28 · 38 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 4 2 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-225255,-41149046] |
[a1,a2,a3,a4,a6] |
Generators |
[593:5814:1] |
Generators of the group modulo torsion |
j |
6772976019826000/42237 |
j-invariant |
L |
5.8341437636567 |
L(r)(E,1)/r! |
Ω |
0.21914468645231 |
Real period |
R |
3.3277921644511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35568k2 5928e2 |
Quadratic twists by: -4 -3 |