Atkin-Lehner |
17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
47753k |
Isogeny class |
Conductor |
47753 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
220480 |
Modular degree for the optimal curve |
Δ |
56095981060636261 = 17 · 539 |
Discriminant |
Eigenvalues |
0 -1 -1 -2 2 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-99251,-3839097] |
[a1,a2,a3,a4,a6] |
Generators |
[-121390:2530409:1000] |
Generators of the group modulo torsion |
j |
32768/17 |
j-invariant |
L |
2.5469905528308 |
L(r)(E,1)/r! |
Ω |
0.28466443489732 |
Real period |
R |
4.4736718756862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47753j1 |
Quadratic twists by: 53 |