Atkin-Lehner |
2+ 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320c |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1800548352000 = 215 · 38 · 53 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-357441,-82134495] |
[a1,a2,a3,a4,a6] |
j |
154130324060603528/54948375 |
j-invariant |
L |
0.78101318163964 |
L(r)(E,1)/r! |
Ω |
0.19525329479805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320v4 32160i4 |
Quadratic twists by: -4 8 |