Atkin-Lehner |
2- 3- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67860c |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
44522946000 = 24 · 310 · 53 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-141348,-20454203] |
[a1,a2,a3,a4,a6] |
Generators |
[75388675471572:1681996763475919:103293741888] |
Generators of the group modulo torsion |
j |
26775969499365376/3817125 |
j-invariant |
L |
5.850344978898 |
L(r)(E,1)/r! |
Ω |
0.24622216258974 |
Real period |
R |
23.760432112928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620h1 |
Quadratic twists by: -3 |