Atkin-Lehner |
2- 3- 5- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27390be |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
1296 |
Product of Tamagawa factors cp |
Δ |
915168375000000000 = 29 · 36 · 512 · 112 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-323325,-53776143] |
[a1,a2,a3,a4,a6] |
j |
3738020293543535038801/915168375000000000 |
j-invariant |
L |
7.336405162403 |
L(r)(E,1)/r! |
Ω |
0.20378903228898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
82170r2 |
Quadratic twists by: -3 |