Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
2064j |
Isogeny class |
Conductor |
2064 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-4636650861232128 = -1 · 219 · 314 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20424,-3470220] |
[a1,a2,a3,a4,a6] |
Generators |
[222:1728:1] |
Generators of the group modulo torsion |
j |
-230042158153417/1131994839168 |
j-invariant |
L |
3.1297727482685 |
L(r)(E,1)/r! |
Ω |
0.18041091671248 |
Real period |
R |
0.61957225310586 |
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 |
258b2 8256bj2 6192p2 51600ca2 |
Quadratic twists by: -4 8 -3 5 |