Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64064bg |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1921024 |
Modular degree for the optimal curve |
Δ |
-2.0534611911502E+20 |
Discriminant |
Eigenvalues |
2- -1 3 7- 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2148539,-1393805699] |
[a1,a2,a3,a4,a6] |
Generators |
[2883420:166191389:729] |
Generators of the group modulo torsion |
j |
-17138533760517540418048/3208533111172119731 |
j-invariant |
L |
6.5798004704422 |
L(r)(E,1)/r! |
Ω |
0.061723174444408 |
Real period |
R |
6.6626114598078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64064bc1 32032m1 |
Quadratic twists by: -4 8 |