Atkin-Lehner |
2- 3- 5+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
27390bd |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1067452392600 = 23 · 312 · 52 · 112 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2706,-21780] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:156:1] |
Generators of the group modulo torsion |
j |
2191377103822369/1067452392600 |
j-invariant |
L |
9.6463025021629 |
L(r)(E,1)/r! |
Ω |
0.69526665685118 |
Real period |
R |
0.38539579691027 |
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 |
82170t2 |
Quadratic twists by: -3 |