Atkin-Lehner |
2- 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090bs |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
263785659525360 = 24 · 39 · 5 · 72 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5080667,-4406603749] |
[a1,a2,a3,a4,a6] |
Generators |
[-1301:654:1] |
Generators of the group modulo torsion |
j |
19895657538287388043369/361845897840 |
j-invariant |
L |
8.9467867276597 |
L(r)(E,1)/r! |
Ω |
0.1005586372074 |
Real period |
R |
2.7803388451131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030j3 |
Quadratic twists by: -3 |