Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
4770k |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
225330984000 = 26 · 312 · 53 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1890,22356] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:144:1] |
Generators of the group modulo torsion |
j |
1024497361441/309096000 |
j-invariant |
L |
2.7729566386401 |
L(r)(E,1)/r! |
Ω |
0.92212033913101 |
Real period |
R |
1.5035763343282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38160bp1 1590u1 23850cg1 |
Quadratic twists by: -4 -3 5 |