Atkin-Lehner |
2- 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18564o |
Isogeny class |
Conductor |
18564 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
47844290889774288 = 24 · 34 · 76 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-495073,-133827796] |
[a1,a2,a3,a4,a6] |
Generators |
[-3254:5145:8] |
Generators of the group modulo torsion |
j |
838710986017957888000/2990268180610893 |
j-invariant |
L |
6.4800119852709 |
L(r)(E,1)/r! |
Ω |
0.18002187689675 |
Real period |
R |
2.9996409774257 |
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 |
74256bn3 55692be3 129948i3 |
Quadratic twists by: -4 -3 -7 |