Atkin-Lehner |
2- 3- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8142f |
Isogeny class |
Conductor |
8142 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-1985154983091648 = -1 · 26 · 318 · 23 · 592 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16343,2288169] |
[a1,a2,a3,a4,a6] |
Generators |
[100:1237:1] |
Generators of the group modulo torsion |
j |
-482748257781744625/1985154983091648 |
j-invariant |
L |
6.8185479240228 |
L(r)(E,1)/r! |
Ω |
0.40661712235815 |
Real period |
R |
2.7948273486694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
65136m2 24426f2 |
Quadratic twists by: -4 -3 |