Atkin-Lehner |
2+ 3- 5- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
27390j |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
227183616000 = 213 · 35 · 53 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -1 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11018,-445444] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:52:1] |
Generators of the group modulo torsion |
j |
147902444959927321/227183616000 |
j-invariant |
L |
5.9392067193138 |
L(r)(E,1)/r! |
Ω |
0.46603512334479 |
Real period |
R |
0.84960788315514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82170bn1 |
Quadratic twists by: -3 |