Atkin-Lehner |
2+ 3+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
16104a |
Isogeny class |
Conductor |
16104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
730310473728 = 211 · 312 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28872,-1878228] |
[a1,a2,a3,a4,a6] |
j |
1299688897294226/356596911 |
j-invariant |
L |
0.73251450741225 |
L(r)(E,1)/r! |
Ω |
0.36625725370612 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32208g4 128832u4 48312q4 |
Quadratic twists by: -4 8 -3 |