Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640bq |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1189555929092505600 = 214 · 32 · 52 · 199 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21059416,-37190773520] |
[a1,a2,a3,a4,a6] |
j |
781484460931/900 |
j-invariant |
L |
0.28190188749845 |
L(r)(E,1)/r! |
Ω |
0.070475473443389 |
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 |
10830j2 86640cy2 |
Quadratic twists by: -4 -19 |