Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966dy |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-1.2160869940865E+26 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13764787,530930101001] |
[a1,a2,a3,a4,a6] |
Generators |
[-36578:5665441:8] [704:-722563:1] |
Generators of the group modulo torsion |
j |
-101566487155393/42823570577256 |
j-invariant |
L |
15.677330631515 |
L(r)(E,1)/r! |
Ω |
0.047757880459252 |
Real period |
R |
2.2796311428036 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138q2 4998bg2 |
Quadratic twists by: -7 17 |