Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320y |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
108573065625600000 = 217 · 310 · 55 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-555041,-158554305] |
[a1,a2,a3,a4,a6] |
j |
144274561547032082/828346753125 |
j-invariant |
L |
3.4994385759463 |
L(r)(E,1)/r! |
Ω |
0.1749719287024 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320bv2 8040d2 |
Quadratic twists by: -4 8 |