Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16562bh |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-3491716906496 = -1 · 29 · 79 · 132 |
Discriminant |
Eigenvalues |
2- -1 1 7- 2 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1765,-95061] |
[a1,a2,a3,a4,a6] |
Generators |
[69:308:1] |
Generators of the group modulo torsion |
j |
-89167/512 |
j-invariant |
L |
6.513204798487 |
L(r)(E,1)/r! |
Ω |
0.33018870148983 |
Real period |
R |
1.0958724795682 |
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 |
16562bf1 16562i1 |
Quadratic twists by: -7 13 |