Atkin-Lehner |
2- 101- |
Signs for the Atkin-Lehner involutions |
Class |
6464o |
Isogeny class |
Conductor |
6464 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
6464 = 26 · 101 |
Discriminant |
Eigenvalues |
2- -2 1 2 -2 -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,1] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
262144/101 |
j-invariant |
L |
3.1028554854302 |
L(r)(E,1)/r! |
Ω |
3.8516948810679 |
Real period |
R |
0.80558184935197 |
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 |
6464f1 1616c1 58176bt1 |
Quadratic twists by: -4 8 -3 |