Atkin-Lehner |
2+ 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
6710a |
Isogeny class |
Conductor |
6710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8437732455680 = 28 · 5 · 116 · 612 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11+ 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5135,24301] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1393:1] |
Generators of the group modulo torsion |
j |
14975889560228169/8437732455680 |
j-invariant |
L |
2.1509694567671 |
L(r)(E,1)/r! |
Ω |
0.63404650482198 |
Real period |
R |
1.6962237315471 |
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 |
53680u2 60390bk2 33550o2 73810k2 |
Quadratic twists by: -4 -3 5 -11 |