Atkin-Lehner |
2- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
6566n |
Isogeny class |
Conductor |
6566 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
776759801737024 = 26 · 79 · 673 |
Discriminant |
Eigenvalues |
2- -1 -3 7- -6 -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-212612,37621317] |
[a1,a2,a3,a4,a6] |
Generators |
[-407:7749:1] [-76139:2987305:343] |
Generators of the group modulo torsion |
j |
9034391742442417/6602349376 |
j-invariant |
L |
5.4252339855905 |
L(r)(E,1)/r! |
Ω |
0.49996578914565 |
Real period |
R |
0.15071125596585 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52528bb2 59094bc2 938d2 |
Quadratic twists by: -4 -3 -7 |