Atkin-Lehner |
2- 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56316l |
Isogeny class |
Conductor |
56316 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-544469661711715584 = -1 · 28 · 3 · 133 · 199 |
Discriminant |
Eigenvalues |
2- 3- -1 1 4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,203484,3552708] |
[a1,a2,a3,a4,a6] |
j |
11279504/6591 |
j-invariant |
L |
3.1812957199303 |
L(r)(E,1)/r! |
Ω |
0.17673865117376 |
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 |
56316a1 |
Quadratic twists by: -19 |