Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6566l |
Isogeny class |
Conductor |
6566 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-25226887168 = -1 · 214 · 73 · 672 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -4 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,356,-7043] |
[a1,a2,a3,a4,a6] |
Generators |
[85:761:1] |
Generators of the group modulo torsion |
j |
14544652121/73547776 |
j-invariant |
L |
7.1543387000885 |
L(r)(E,1)/r! |
Ω |
0.60018166648418 |
Real period |
R |
0.85144918847157 |
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 |
52528bu1 59094w1 6566m1 |
Quadratic twists by: -4 -3 -7 |