Atkin-Lehner |
17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
47753d |
Isogeny class |
Conductor |
47753 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
463008 |
Modular degree for the optimal curve |
Δ |
-56095981060636261 = -1 · 17 · 539 |
Discriminant |
Eigenvalues |
-1 0 -3 -5 4 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65134,-13052326] |
[a1,a2,a3,a4,a6] |
j |
-9261/17 |
j-invariant |
L |
0.28169616113909 |
L(r)(E,1)/r! |
Ω |
0.14084808058258 |
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 |
47753c1 |
Quadratic twists by: 53 |