Atkin-Lehner |
2- 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
14160r |
Isogeny class |
Conductor |
14160 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1447289842728960000 = 218 · 36 · 54 · 594 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4010320,3091920832] |
[a1,a2,a3,a4,a6] |
j |
1741409690685460393681/353342246760000 |
j-invariant |
L |
0.52332724554463 |
L(r)(E,1)/r! |
Ω |
0.26166362277231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
1770h3 56640cm4 42480bf4 70800cm4 |
Quadratic twists by: -4 8 -3 5 |