Atkin-Lehner |
3+ 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
11067a |
Isogeny class |
Conductor |
11067 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1824 |
Modular degree for the optimal curve |
Δ |
-9218811 = -1 · 3 · 73 · 172 · 31 |
Discriminant |
Eigenvalues |
0 3+ 1 7+ 4 7 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,35,-135] |
[a1,a2,a3,a4,a6] |
Generators |
[15:59:1] |
Generators of the group modulo torsion |
j |
4607442944/9218811 |
j-invariant |
L |
3.5969472061015 |
L(r)(E,1)/r! |
Ω |
1.2033040997052 |
Real period |
R |
1.4946127113599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33201f1 77469be1 |
Quadratic twists by: -3 -7 |