Atkin-Lehner |
2+ 3- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64728c |
Isogeny class |
Conductor |
64728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-304092144 = -1 · 24 · 36 · 292 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 -4 0 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,839] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:27:1] [-1:29:1] |
Generators of the group modulo torsion |
j |
-256/26071 |
j-invariant |
L |
8.7317791241588 |
L(r)(E,1)/r! |
Ω |
1.3744562242946 |
Real period |
R |
0.79411215230437 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456j1 7192b1 |
Quadratic twists by: -4 -3 |