Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4032v |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
16 |
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] |
Generators |
[5:21:1] |
Generators of the group modulo torsion |
j |
-5832000/2401 |
j-invariant |
L |
3.7999828746809 |
L(r)(E,1)/r! |
Ω |
1.6354278083271 |
Real period |
R |
0.58088514444546 |
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 |
4032s2 2016j1 4032w2 100800iz2 |
Quadratic twists by: -4 8 -3 5 |