Atkin-Lehner |
2+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
16450f |
Isogeny class |
Conductor |
16450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5712 |
Modular degree for the optimal curve |
Δ |
-1052800 = -1 · 27 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 0 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-781,8328] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-8:1] |
Generators of the group modulo torsion |
j |
-2103474260785/42112 |
j-invariant |
L |
2.2096949745031 |
L(r)(E,1)/r! |
Ω |
2.5482789992348 |
Real period |
R |
0.8671322783599 |
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 |
16450s1 115150i1 |
Quadratic twists by: 5 -7 |