Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
16800z |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
10584000000000 = 212 · 33 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16833,-831537] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:84:1] |
Generators of the group modulo torsion |
j |
65939264/1323 |
j-invariant |
L |
6.008833641659 |
L(r)(E,1)/r! |
Ω |
0.41964940580684 |
Real period |
R |
1.1932249393805 |
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 |
16800bo2 33600bs1 50400ee2 16800bn2 |
Quadratic twists by: -4 8 -3 5 |