Atkin-Lehner |
3+ 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
16665a |
Isogeny class |
Conductor |
16665 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5568193125 = -1 · 36 · 54 · 112 · 101 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 11+ 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,384,-1962] |
[a1,a2,a3,a4,a6] |
j |
6261043156991/5568193125 |
j-invariant |
L |
1.4873678907461 |
L(r)(E,1)/r! |
Ω |
0.74368394537305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49995i2 83325o2 |
Quadratic twists by: -3 5 |