Atkin-Lehner |
2+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
6464b |
Isogeny class |
Conductor |
6464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-3470333575168 = -1 · 235 · 101 |
Discriminant |
Eigenvalues |
2+ 0 -2 1 -4 0 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,244,-89616] |
[a1,a2,a3,a4,a6] |
Generators |
[3594:40960:27] |
Generators of the group modulo torsion |
j |
6128487/13238272 |
j-invariant |
L |
3.3305554659891 |
L(r)(E,1)/r! |
Ω |
0.36757764986355 |
Real period |
R |
2.2652053703655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6464l1 202a1 58176bd1 |
Quadratic twists by: -4 8 -3 |