Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
16800bf |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7004233215000000000 = -1 · 29 · 35 · 510 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-435408,168793812] |
[a1,a2,a3,a4,a6] |
j |
-1141100604753992/875529151875 |
j-invariant |
L |
0.86767295798027 |
L(r)(E,1)/r! |
Ω |
0.21691823949507 |
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 |
16800bz4 33600gf3 50400ba2 3360k4 |
Quadratic twists by: -4 8 -3 5 |