Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65600m |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13770752000000 = 219 · 56 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 2 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18433,-952737] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:56:1] |
Generators of the group modulo torsion |
j |
169112377/3362 |
j-invariant |
L |
5.6318656777649 |
L(r)(E,1)/r! |
Ω |
0.41022607737229 |
Real period |
R |
3.4321719097852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600bj2 2050e2 2624b2 |
Quadratic twists by: -4 8 5 |