Atkin-Lehner |
2- 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53680u |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
34560952138465280 = 220 · 5 · 116 · 612 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82163,-1473102] |
[a1,a2,a3,a4,a6] |
Generators |
[521:9856:1] |
Generators of the group modulo torsion |
j |
14975889560228169/8437732455680 |
j-invariant |
L |
6.2304753253402 |
L(r)(E,1)/r! |
Ω |
0.30361680377789 |
Real period |
R |
1.7100709534236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6710a2 |
Quadratic twists by: -4 |