Atkin-Lehner |
2- 3- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48144o |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1186736504832 = -1 · 217 · 32 · 172 · 592 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1728,45108] |
[a1,a2,a3,a4,a6] |
Generators |
[687:18054:1] |
Generators of the group modulo torsion |
j |
139233463487/289730592 |
j-invariant |
L |
9.5437506466432 |
L(r)(E,1)/r! |
Ω |
0.59930153438376 |
Real period |
R |
3.9811973184989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6018g2 |
Quadratic twists by: -4 |