Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4032bd |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
426649337856 = 214 · 312 · 72 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9084,331760] |
[a1,a2,a3,a4,a6] |
Generators |
[2:560:1] |
Generators of the group modulo torsion |
j |
6940769488/35721 |
j-invariant |
L |
3.9032916127305 |
L(r)(E,1)/r! |
Ω |
0.94775220467746 |
Real period |
R |
2.0592363665663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4032o2 1008e2 1344l2 100800na2 |
Quadratic twists by: -4 8 -3 5 |