Atkin-Lehner |
2+ 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64032r |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
20 |
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 |
6.0575683796506 |
L(r)(E,1)/r! |
Ω |
0.075719604676054 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64032g2 128064ck2 |
Quadratic twists by: -4 8 |