Atkin-Lehner |
2- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64064bc |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
28 |
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 |
[86430:4463459:27] |
Generators of the group modulo torsion |
j |
-17138533760517540418048/3208533111172119731 |
j-invariant |
L |
8.7673600045307 |
L(r)(E,1)/r! |
Ω |
0.17109496523014 |
Real period |
R |
1.8300947648375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64064bg1 32032h1 |
Quadratic twists by: -4 8 |