Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784cq |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-189568980615168 = -1 · 222 · 32 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6209,-690753] |
[a1,a2,a3,a4,a6] |
Generators |
[133:924:1] |
Generators of the group modulo torsion |
j |
-100999381393/723148272 |
j-invariant |
L |
5.4203370454143 |
L(r)(E,1)/r! |
Ω |
0.23834229803955 |
Real period |
R |
0.94757572931847 |
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 |
14784d1 3696q1 44352ej1 103488gh1 |
Quadratic twists by: -4 8 -3 -7 |