Atkin-Lehner |
2- 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
65296m |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-14977335296 = -1 · 219 · 72 · 11 · 53 |
Discriminant |
Eigenvalues |
2- -1 1 7+ 11- -3 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,560,-3136] |
[a1,a2,a3,a4,a6] |
Generators |
[56:448:1] |
Generators of the group modulo torsion |
j |
4733169839/3656576 |
j-invariant |
L |
3.6831361839424 |
L(r)(E,1)/r! |
Ω |
0.69474790111348 |
Real period |
R |
0.66267493895665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8162i1 |
Quadratic twists by: -4 |