Atkin-Lehner |
2+ 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11544d |
Isogeny class |
Conductor |
11544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2132222976 = 210 · 32 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-352,-1360] |
[a1,a2,a3,a4,a6] |
j |
4723728772/2082249 |
j-invariant |
L |
4.5905708150899 |
L(r)(E,1)/r! |
Ω |
1.1476427037725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23088a2 92352q2 34632j2 |
Quadratic twists by: -4 8 -3 |