Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992bs |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
875052482528673792 = 217 · 310 · 76 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 6 6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-252012,-18589520] |
[a1,a2,a3,a4,a6] |
j |
18524646126002/9157915809 |
j-invariant |
L |
1.7932811497627 |
L(r)(E,1)/r! |
Ω |
0.22416003471853 |
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 |
124992hb2 15624t2 41664bk2 |
Quadratic twists by: -4 8 -3 |