Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
16800bd |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-141120000000 = -1 · 212 · 32 · 57 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-18063] |
[a1,a2,a3,a4,a6] |
j |
-64/2205 |
j-invariant |
L |
1.8869321021188 |
L(r)(E,1)/r! |
Ω |
0.4717330255297 |
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 |
16800bv2 33600gd1 50400x2 3360j2 |
Quadratic twists by: -4 8 -3 5 |