Atkin-Lehner |
3- 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
11067h |
Isogeny class |
Conductor |
11067 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-73180129170208347 = -1 · 35 · 711 · 173 · 31 |
Discriminant |
Eigenvalues |
-2 3- 4 7+ -2 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-97686,-17568232] |
[a1,a2,a3,a4,a6] |
j |
-103092041043985936384/73180129170208347 |
j-invariant |
L |
1.9639533882219 |
L(r)(E,1)/r! |
Ω |
0.13093022588146 |
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 |
33201e1 77469c1 |
Quadratic twists by: -3 -7 |