Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592bn |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
40919853072384 = 215 · 38 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-719211,-234764390] |
[a1,a2,a3,a4,a6] |
j |
13778603383488553/13703976 |
j-invariant |
L |
1.3115217200281 |
L(r)(E,1)/r! |
Ω |
0.16394021500352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2574t4 82368ee4 6864u4 |
Quadratic twists by: -4 8 -3 |