Atkin-Lehner |
3- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
4047a |
Isogeny class |
Conductor |
4047 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
32557490349597 = 33 · 198 · 71 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12939,494460] |
[a1,a2,a3,a4,a6] |
j |
239567526307316017/32557490349597 |
j-invariant |
L |
0.94805749056202 |
L(r)(E,1)/r! |
Ω |
0.63203832704135 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64752k3 12141f3 101175b3 76893d3 |
Quadratic twists by: -4 -3 5 -19 |