Atkin-Lehner |
2+ 3+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386a |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-32235851200896 = -1 · 27 · 39 · 74 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 3 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7359,-363763] |
[a1,a2,a3,a4,a6] |
Generators |
[107:202:1] |
Generators of the group modulo torsion |
j |
-932673987/682112 |
j-invariant |
L |
4.9182659348557 |
L(r)(E,1)/r! |
Ω |
0.24973940165443 |
Real period |
R |
1.6411326841666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64386w1 64386i1 |
Quadratic twists by: -3 -7 |