Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27200cm |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
591872000000 = 217 · 56 · 172 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 2 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4833,-125537] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:68:1] |
Generators of the group modulo torsion |
j |
6097250/289 |
j-invariant |
L |
3.4568722233085 |
L(r)(E,1)/r! |
Ω |
0.57426425313203 |
Real period |
R |
3.0098271000282 |
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 |
27200y2 6800e2 1088g2 |
Quadratic twists by: -4 8 5 |