Atkin-Lehner |
2- 3- 5- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27390be |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
45582999727815000 = 23 · 32 · 54 · 116 · 833 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24398325,-46388161143] |
[a1,a2,a3,a4,a6] |
j |
1606215266637588213561838801/45582999727815000 |
j-invariant |
L |
7.336405162403 |
L(r)(E,1)/r! |
Ω |
0.067929677429658 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82170r4 |
Quadratic twists by: -3 |