Atkin-Lehner |
2- 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17784j |
Isogeny class |
Conductor |
17784 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-2308220928 = -1 · 211 · 33 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 3 3 13- -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,309,-986] |
[a1,a2,a3,a4,a6] |
Generators |
[14:78:1] |
Generators of the group modulo torsion |
j |
59007258/41743 |
j-invariant |
L |
4.973880553756 |
L(r)(E,1)/r! |
Ω |
0.82096490481228 |
Real period |
R |
1.0097631304742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35568d1 17784b1 |
Quadratic twists by: -4 -3 |