Atkin-Lehner |
2- 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090bs |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
15099553382457600 = 28 · 312 · 52 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-317867,-68645509] |
[a1,a2,a3,a4,a6] |
Generators |
[-329:654:1] |
Generators of the group modulo torsion |
j |
4872268712403422569/20712693254400 |
j-invariant |
L |
8.9467867276597 |
L(r)(E,1)/r! |
Ω |
0.2011172744148 |
Real period |
R |
1.3901694225566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9030j2 |
Quadratic twists by: -3 |