Atkin-Lehner |
2- 3+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
42720i |
Isogeny class |
Conductor |
42720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1445581232640 = 29 · 32 · 5 · 894 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3120,-32940] |
[a1,a2,a3,a4,a6] |
j |
6562309703048/2823400845 |
j-invariant |
L |
2.6566288431926 |
L(r)(E,1)/r! |
Ω |
0.66415721080376 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42720m3 85440bj3 128160g3 |
Quadratic twists by: -4 8 -3 |