Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4032s |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-265531392 = -1 · 212 · 33 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -4 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180,-1216] |
[a1,a2,a3,a4,a6] |
j |
-5832000/2401 |
j-invariant |
L |
1.2775961447258 |
L(r)(E,1)/r! |
Ω |
0.63879807236292 |
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 |
4032v2 2016i1 4032r2 100800jx2 |
Quadratic twists by: -4 8 -3 5 |