Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6560b |
Isogeny class |
Conductor |
6560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
565152200000 = 26 · 55 · 414 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3606,-73900] |
[a1,a2,a3,a4,a6] |
Generators |
[53064:152902:729] |
Generators of the group modulo torsion |
j |
81047819728576/8830503125 |
j-invariant |
L |
5.4068321263024 |
L(r)(E,1)/r! |
Ω |
0.6204276997726 |
Real period |
R |
8.7146852538728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6560i1 13120r2 59040ca1 32800l1 |
Quadratic twists by: -4 8 -3 5 |