Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560bw |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
770912092160 = 216 · 5 · 73 · 193 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1003791788,-12240906233008] |
[a1,a2,a3,a4,a6] |
j |
1706768805632178182685889284/11763185 |
j-invariant |
L |
2.6821844792388 |
L(r)(E,1)/r! |
Ω |
0.026821844791618 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
100 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42560t4 10640f3 |
Quadratic twists by: -4 8 |