Atkin-Lehner |
2+ 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
32472b |
Isogeny class |
Conductor |
32472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
82335579245568 = 210 · 33 · 116 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108915,13828126] |
[a1,a2,a3,a4,a6] |
j |
5168006827843500/2977994041 |
j-invariant |
L |
2.4036336489386 |
L(r)(E,1)/r! |
Ω |
0.60090841223445 |
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 |
64944g2 32472k2 |
Quadratic twists by: -4 -3 |