Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1344q |
Isogeny class |
Conductor |
1344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
16257024 = 212 · 34 · 72 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89,231] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:24:1] |
Generators of the group modulo torsion |
j |
19248832/3969 |
j-invariant |
L |
2.7960735747865 |
L(r)(E,1)/r! |
Ω |
2.0831214239392 |
Real period |
R |
0.6711259225348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1344n2 672c1 4032bc2 33600ew2 |
Quadratic twists by: -4 8 -3 5 |