Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36456z |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
53801365825536 = 211 · 3 · 710 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-195232,-33266080] |
[a1,a2,a3,a4,a6] |
j |
3415550840354/223293 |
j-invariant |
L |
3.6339864592354 |
L(r)(E,1)/r! |
Ω |
0.227124153703 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912p4 109368o4 5208j3 |
Quadratic twists by: -4 -3 -7 |