Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
6570t |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
19440 |
Modular degree for the optimal curve |
Δ |
35713324154880 = 227 · 36 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17078,-805179] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:171:1] |
Generators of the group modulo torsion |
j |
755585074684441/48989470720 |
j-invariant |
L |
5.9693217785437 |
L(r)(E,1)/r! |
Ω |
0.41932980671739 |
Real period |
R |
0.52723652899523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52560u1 730d1 32850y1 |
Quadratic twists by: -4 -3 5 |