Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320ck |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
397157990400 = 217 · 33 · 52 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4161,-100161] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:48:1] |
Generators of the group modulo torsion |
j |
60801081122/3030075 |
j-invariant |
L |
6.9475008126781 |
L(r)(E,1)/r! |
Ω |
0.59625640898958 |
Real period |
R |
0.97098897784432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320g2 16080f2 |
Quadratic twists by: -4 8 |