Atkin-Lehner |
17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
47753j |
Isogeny class |
Conductor |
47753 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4160 |
Modular degree for the optimal curve |
Δ |
2530909 = 17 · 533 |
Discriminant |
Eigenvalues |
0 1 1 -2 2 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-35,-38] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:49:8] |
Generators of the group modulo torsion |
j |
32768/17 |
j-invariant |
L |
5.664168950103 |
L(r)(E,1)/r! |
Ω |
2.0723883676224 |
Real period |
R |
1.3665799901645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47753k1 |
Quadratic twists by: 53 |