Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
16800be |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1296243648000000 = 212 · 310 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37633,2225137] |
[a1,a2,a3,a4,a6] |
j |
92100460096/20253807 |
j-invariant |
L |
0.91195307048235 |
L(r)(E,1)/r! |
Ω |
0.45597653524117 |
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 |
16800v2 33600cf1 50400v2 672b2 |
Quadratic twists by: -4 8 -3 5 |