Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16536f |
Isogeny class |
Conductor |
16536 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-13377491712 = -1 · 28 · 33 · 13 · 533 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -5 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,-5557] |
[a1,a2,a3,a4,a6] |
Generators |
[17:6:1] |
Generators of the group modulo torsion |
j |
5030912/52255827 |
j-invariant |
L |
6.9318376962505 |
L(r)(E,1)/r! |
Ω |
0.58120031738433 |
Real period |
R |
1.9877936197761 |
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 |
33072a1 49608e1 |
Quadratic twists by: -4 -3 |