Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592bq |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
183181160448 = 212 · 37 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,23506] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:234:1] |
Generators of the group modulo torsion |
j |
244140625/61347 |
j-invariant |
L |
5.6212668818731 |
L(r)(E,1)/r! |
Ω |
0.94809253404821 |
Real period |
R |
0.74112846056692 |
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 |
1287c2 82368dj2 6864v2 |
Quadratic twists by: -4 8 -3 |