Atkin-Lehner |
2- 3+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
42720i |
Isogeny class |
Conductor |
42720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2050560 = 29 · 32 · 5 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42720,-3384360] |
[a1,a2,a3,a4,a6] |
j |
16840603438698248/4005 |
j-invariant |
L |
2.6566288431926 |
L(r)(E,1)/r! |
Ω |
0.33207860540188 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42720m4 85440bj4 128160g4 |
Quadratic twists by: -4 8 -3 |