Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57222bn |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-342914508288 = -1 · 29 · 36 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-144410,21158489] |
[a1,a2,a3,a4,a6] |
j |
-5470027161625/5632 |
j-invariant |
L |
4.8396958390694 |
L(r)(E,1)/r! |
Ω |
0.80661597310873 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6358g2 57222bp2 |
Quadratic twists by: -3 17 |