Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4032bd |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-48393096192 = -1 · 210 · 39 · 74 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,10712] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:108:1] |
Generators of the group modulo torsion |
j |
-2725888/64827 |
j-invariant |
L |
3.9032916127305 |
L(r)(E,1)/r! |
Ω |
0.94775220467746 |
Real period |
R |
1.0296181832832 |
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 |
4032o1 1008e1 1344l1 100800na1 |
Quadratic twists by: -4 8 -3 5 |