Atkin-Lehner |
2- 3+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064ck |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.3245497224065E+24 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 0 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64481505,-185284768959] |
[a1,a2,a3,a4,a6] |
Generators |
[61900096646770681:27134452942102905196:321559913051] |
Generators of the group modulo torsion |
j |
904855603060812442797512/70939627758988034229 |
j-invariant |
L |
3.1228296132548 |
L(r)(E,1)/r! |
Ω |
0.053541845935202 |
Real period |
R |
29.162512718401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000279076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064dz2 64032r2 |
Quadratic twists by: -4 8 |