Atkin-Lehner |
17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
19363b |
Isogeny class |
Conductor |
19363 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
532340977595033 = 179 · 672 |
Discriminant |
Eigenvalues |
-1 2 4 2 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23126,764986] |
[a1,a2,a3,a4,a6] |
j |
56667352321/22054457 |
j-invariant |
L |
3.7907880074229 |
L(r)(E,1)/r! |
Ω |
0.47384850092787 |
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 |
1139b1 |
Quadratic twists by: 17 |