Atkin-Lehner |
2- 3+ 5- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
27390v |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
5468413500000 = 25 · 32 · 56 · 114 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13220,-579643] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:91:1] |
Generators of the group modulo torsion |
j |
255517194723900481/5468413500000 |
j-invariant |
L |
8.4421386123088 |
L(r)(E,1)/r! |
Ω |
0.4458172838402 |
Real period |
R |
0.31560532824829 |
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 |
82170i2 |
Quadratic twists by: -3 |