Atkin-Lehner |
2- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
65728w |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-55998152704 = -1 · 222 · 132 · 79 |
Discriminant |
Eigenvalues |
2- 0 2 -2 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1004,16720] |
[a1,a2,a3,a4,a6] |
Generators |
[12:80:1] |
Generators of the group modulo torsion |
j |
-426957777/213616 |
j-invariant |
L |
5.807987061502 |
L(r)(E,1)/r! |
Ω |
1.0404305326272 |
Real period |
R |
2.7911460106874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000728 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65728j1 16432f1 |
Quadratic twists by: -4 8 |