Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1344k |
Isogeny class |
Conductor |
1344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-236027904 = -1 · 215 · 3 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63,-735] |
[a1,a2,a3,a4,a6] |
j |
830584/7203 |
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 |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1344s4 672f4 4032be4 33600gv3 |
Quadratic twists by: -4 8 -3 5 |