Atkin-Lehner |
2- 3- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19422s |
Isogeny class |
Conductor |
19422 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
366652089648 = 24 · 39 · 132 · 832 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -4 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20534,-1127019] |
[a1,a2,a3,a4,a6] |
j |
1313400050268697/502952112 |
j-invariant |
L |
3.1906765870575 |
L(r)(E,1)/r! |
Ω |
0.39883457338218 |
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 |
6474e2 |
Quadratic twists by: -3 |