Atkin-Lehner |
7+ 23- 103- |
Signs for the Atkin-Lehner involutions |
Class |
16583a |
Isogeny class |
Conductor |
16583 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1708049 = 7 · 23 · 1032 |
Discriminant |
Eigenvalues |
1 2 -2 7+ -2 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-856,-10005] |
[a1,a2,a3,a4,a6] |
Generators |
[1457743194:-4493387303:40001688] |
Generators of the group modulo torsion |
j |
69492431029897/1708049 |
j-invariant |
L |
6.9073738096997 |
L(r)(E,1)/r! |
Ω |
0.882502028745 |
Real period |
R |
15.654068964629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116081b2 |
Quadratic twists by: -7 |