Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66248c |
Isogeny class |
Conductor |
66248 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
445209493600144 = 24 · 78 · 136 |
Discriminant |
Eigenvalues |
2+ 3 1 7+ 1 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57967,-5274997] |
[a1,a2,a3,a4,a6] |
Generators |
[-3822:8281:27] |
Generators of the group modulo torsion |
j |
48384 |
j-invariant |
L |
13.052797578383 |
L(r)(E,1)/r! |
Ω |
0.30807048756609 |
Real period |
R |
1.7653965170192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000375 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66248l1 392e1 |
Quadratic twists by: -7 13 |