Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6566m |
Isogeny class |
Conductor |
6566 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-2967918048428032 = -1 · 214 · 79 · 672 |
Discriminant |
Eigenvalues |
2- -2 2 7- -4 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,17443,2468017] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:1103:1] |
Generators of the group modulo torsion |
j |
14544652121/73547776 |
j-invariant |
L |
4.6152221829413 |
L(r)(E,1)/r! |
Ω |
0.32446674629006 |
Real period |
R |
1.0160015814325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52528br1 59094y1 6566l1 |
Quadratic twists by: -4 -3 -7 |