Atkin-Lehner |
2+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6560d |
Isogeny class |
Conductor |
6560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
1025000000 = 26 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -2 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-430,2928] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:80:1] [1:50:1] |
Generators of the group modulo torsion |
j |
137707850944/16015625 |
j-invariant |
L |
3.8549664306808 |
L(r)(E,1)/r! |
Ω |
1.5070528377745 |
Real period |
R |
0.63948760356243 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6560c1 13120x1 59040br1 32800j1 |
Quadratic twists by: -4 8 -3 5 |