Atkin-Lehner |
2- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
16450j |
Isogeny class |
Conductor |
16450 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-726761000000 = -1 · 26 · 56 · 7 · 473 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-788,-42219] |
[a1,a2,a3,a4,a6] |
Generators |
[61:345:1] |
Generators of the group modulo torsion |
j |
-3463512697/46512704 |
j-invariant |
L |
5.9013367886054 |
L(r)(E,1)/r! |
Ω |
0.38544523354291 |
Real period |
R |
0.85058009616018 |
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 |
658c2 115150bt2 |
Quadratic twists by: 5 -7 |