Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4704y |
Isogeny class |
Conductor |
4704 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
-51640810647552 = -1 · 212 · 37 · 78 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4573,364139] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-588:1] |
Generators of the group modulo torsion |
j |
-448000/2187 |
j-invariant |
L |
4.5193276620371 |
L(r)(E,1)/r! |
Ω |
0.54859548376818 |
Real period |
R |
0.19614277323833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4704a1 9408a1 14112j1 117600c1 |
Quadratic twists by: -4 8 -3 5 |