Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240do |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-29251584000 = -1 · 214 · 33 · 53 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,132,-8208] |
[a1,a2,a3,a4,a6] |
Generators |
[72:612:1] |
Generators of the group modulo torsion |
j |
574992/66125 |
j-invariant |
L |
7.1552954506042 |
L(r)(E,1)/r! |
Ω |
0.55850062378271 |
Real period |
R |
3.2029039655383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240c1 16560h1 66240dv1 |
Quadratic twists by: -4 8 -3 |