Atkin-Lehner |
2- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3776q |
Isogeny class |
Conductor |
3776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-841232384 = -1 · 212 · 593 |
Discriminant |
Eigenvalues |
2- 3 -1 -3 0 0 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2068,36224] |
[a1,a2,a3,a4,a6] |
j |
-238789577664/205379 |
j-invariant |
L |
3.147305638495 |
L(r)(E,1)/r! |
Ω |
1.5736528192475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3776z1 1888d1 33984bu1 94400ch1 |
Quadratic twists by: -4 8 -3 5 |