Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6384w |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2145024 = 28 · 32 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4964,136284] |
[a1,a2,a3,a4,a6] |
Generators |
[29:126:1] |
Generators of the group modulo torsion |
j |
52852623679312/8379 |
j-invariant |
L |
3.1767498699167 |
L(r)(E,1)/r! |
Ω |
2.0426344444757 |
Real period |
R |
1.5552219235841 |
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 |
1596d2 25536dm2 19152bs2 44688dj2 |
Quadratic twists by: -4 8 -3 -7 |