Atkin-Lehner |
3- 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
11067j |
Isogeny class |
Conductor |
11067 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-48465458559 = -1 · 32 · 73 · 17 · 314 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,773,6680] |
[a1,a2,a3,a4,a6] |
Generators |
[17:149:1] |
Generators of the group modulo torsion |
j |
51077199691727/48465458559 |
j-invariant |
L |
4.2023267352889 |
L(r)(E,1)/r! |
Ω |
0.74107580472181 |
Real period |
R |
1.890192028271 |
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 |
33201l1 77469o1 |
Quadratic twists by: -3 -7 |