Atkin-Lehner |
17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
47753c |
Isogeny class |
Conductor |
47753 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8736 |
Modular degree for the optimal curve |
Δ |
-2530909 = -1 · 17 · 533 |
Discriminant |
Eigenvalues |
1 0 3 -5 4 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23,-82] |
[a1,a2,a3,a4,a6] |
j |
-9261/17 |
j-invariant |
L |
2.05077900829 |
L(r)(E,1)/r! |
Ω |
1.0253895043354 |
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 |
47753d1 |
Quadratic twists by: 53 |