Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6384p |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7988069376 = 210 · 32 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-952,-10780] |
[a1,a2,a3,a4,a6] |
j |
93280467172/7800849 |
j-invariant |
L |
3.4559460244296 |
L(r)(E,1)/r! |
Ω |
0.8639865061074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3192j2 25536ch2 19152ba2 44688g2 |
Quadratic twists by: -4 8 -3 -7 |