Atkin-Lehner |
2+ 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64032g |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
3.6321089412602E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 0 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16120376,23168656308] |
[a1,a2,a3,a4,a6] |
j |
904855603060812442797512/70939627758988034229 |
j-invariant |
L |
4.5274830084035 |
L(r)(E,1)/r! |
Ω |
0.11318707527413 |
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 |
64032r2 128064dz2 |
Quadratic twists by: -4 8 |