Atkin-Lehner |
2- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
65728m |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1455951970304 = -1 · 223 · 133 · 79 |
Discriminant |
Eigenvalues |
2- 0 -1 -1 -3 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1652,51984] |
[a1,a2,a3,a4,a6] |
Generators |
[0:228:1] [34:384:1] |
Generators of the group modulo torsion |
j |
1902014919/5554016 |
j-invariant |
L |
8.9942457671243 |
L(r)(E,1)/r! |
Ω |
0.59900444448167 |
Real period |
R |
3.7538309815447 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65728e1 16432h1 |
Quadratic twists by: -4 8 |