Atkin-Lehner |
3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
47685n |
Isogeny class |
Conductor |
47685 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
1468800 |
Modular degree for the optimal curve |
Δ |
-3.4124876115776E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4420984,-3589276129] |
[a1,a2,a3,a4,a6] |
j |
-1369900516270969/4891924125 |
j-invariant |
L |
3.9035366007478 |
L(r)(E,1)/r! |
Ω |
0.052047154688857 |
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 |
47685d1 |
Quadratic twists by: 17 |