Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
16800b |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4032000000 = 212 · 32 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-8463] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:12:1] |
Generators of the group modulo torsion |
j |
1000000/63 |
j-invariant |
L |
4.104462340497 |
L(r)(E,1)/r! |
Ω |
0.8920849104971 |
Real period |
R |
1.1502443019157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16800bw2 33600ch1 50400db2 672g2 |
Quadratic twists by: -4 8 -3 5 |