Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640do |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-2166000 = -1 · 24 · 3 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1146,-15321] |
[a1,a2,a3,a4,a6] |
j |
-28842260224/375 |
j-invariant |
L |
3.692189605527 |
L(r)(E,1)/r! |
Ω |
0.41024329335116 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660g2 86640bt2 |
Quadratic twists by: -4 -19 |