Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
16080g |
Isogeny class |
Conductor |
16080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-562671360 = -1 · 28 · 38 · 5 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4,-1140] |
[a1,a2,a3,a4,a6] |
j |
21296/2197935 |
j-invariant |
L |
3.0154552242675 |
L(r)(E,1)/r! |
Ω |
0.75386380606687 |
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 |
8040a1 64320cb1 48240r1 80400e1 |
Quadratic twists by: -4 8 -3 5 |