Atkin-Lehner |
3- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
11067f |
Isogeny class |
Conductor |
11067 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-721047332439 = -1 · 38 · 7 · 17 · 314 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-987,42480] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:243:1] |
Generators of the group modulo torsion |
j |
-106341472771633/721047332439 |
j-invariant |
L |
3.612930376791 |
L(r)(E,1)/r! |
Ω |
0.77664007762378 |
Real period |
R |
0.58150011840832 |
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 |
33201g3 77469l3 |
Quadratic twists by: -3 -7 |