Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1344k |
Isogeny class |
Conductor |
1344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
688128 = 215 · 3 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-897,-10047] |
[a1,a2,a3,a4,a6] |
j |
2438569736/21 |
j-invariant |
L |
1.744581748021 |
L(r)(E,1)/r! |
Ω |
0.8722908740105 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1344s3 672f2 4032be3 33600gv4 |
Quadratic twists by: -4 8 -3 5 |