Atkin-Lehner |
2- 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176bu |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
82060444988080128 = 221 · 318 · 101 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2490924,-1513111088] |
[a1,a2,a3,a4,a6] |
Generators |
[-5717979511880493:-1569115555974485:6277363000623] |
Generators of the group modulo torsion |
j |
8944121560009033/429404328 |
j-invariant |
L |
5.9442833114471 |
L(r)(E,1)/r! |
Ω |
0.12017404691104 |
Real period |
R |
24.731976097074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58176k4 14544y3 19392bn4 |
Quadratic twists by: -4 8 -3 |