Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6384k |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
140141568 = 210 · 3 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1232,-17052] |
[a1,a2,a3,a4,a6] |
Generators |
[42:84:1] |
Generators of the group modulo torsion |
j |
202119559492/136857 |
j-invariant |
L |
5.2783626677281 |
L(r)(E,1)/r! |
Ω |
0.80581464705684 |
Real period |
R |
1.6375858539575 |
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 |
3192a3 25536co4 19152v3 44688n4 |
Quadratic twists by: -4 8 -3 -7 |