Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784bd |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-968884224 = -1 · 222 · 3 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,223,-705] |
[a1,a2,a3,a4,a6] |
Generators |
[8292:95355:64] |
Generators of the group modulo torsion |
j |
4657463/3696 |
j-invariant |
L |
6.6955727808803 |
L(r)(E,1)/r! |
Ω |
0.87020182224869 |
Real period |
R |
7.6942757526964 |
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 |
14784bu1 462c1 44352cp1 103488z1 |
Quadratic twists by: -4 8 -3 -7 |