Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16562be |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-383879614379716 = -1 · 22 · 76 · 138 |
Discriminant |
Eigenvalues |
2- 0 1 7- 4 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6728,-920097] |
[a1,a2,a3,a4,a6] |
Generators |
[4734:113563:8] |
Generators of the group modulo torsion |
j |
351/4 |
j-invariant |
L |
7.9017936369571 |
L(r)(E,1)/r! |
Ω |
0.26311267376734 |
Real period |
R |
2.502664708816 |
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 |
338b1 16562d1 |
Quadratic twists by: -7 13 |