Atkin-Lehner |
2+ 3- 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
126072j |
Isogeny class |
Conductor |
126072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1913077762828498944 = -1 · 211 · 322 · 172 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-295059,-90741490] |
[a1,a2,a3,a4,a6] |
Generators |
[590591212320554183578460654:-9911778547953734934418200850:742177600633954811301877] |
Generators of the group modulo torsion |
j |
-1902798630065954/1281371744007 |
j-invariant |
L |
8.6868180822369 |
L(r)(E,1)/r! |
Ω |
0.09943637229138 |
Real period |
R |
43.680284432569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42024g2 |
Quadratic twists by: -3 |