Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
2142j |
Isogeny class |
Conductor |
2142 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-177915256526672154 = -1 · 2 · 37 · 73 · 179 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3435318,2451690342] |
[a1,a2,a3,a4,a6] |
j |
-6150311179917589675873/244053849830826 |
j-invariant |
L |
1.8047171602307 |
L(r)(E,1)/r! |
Ω |
0.30078619337179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17136bf3 68544cp3 714i3 53550dm3 |
Quadratic twists by: -4 8 -3 5 |