Atkin-Lehner |
3- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
11067m |
Isogeny class |
Conductor |
11067 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
-4880547 = -1 · 33 · 73 · 17 · 31 |
Discriminant |
Eigenvalues |
2 3- 0 7- 6 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-68,-265] |
[a1,a2,a3,a4,a6] |
j |
-35287552000/4880547 |
j-invariant |
L |
7.4153128153547 |
L(r)(E,1)/r! |
Ω |
0.82392364615052 |
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 |
33201i1 77469g1 |
Quadratic twists by: -3 -7 |