Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
42720m |
Isogeny class |
Conductor |
42720 |
Conductor |
∏ cp |
4 |
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] |
Generators |
[25998:5579:216] |
Generators of the group modulo torsion |
j |
16840603438698248/4005 |
j-invariant |
L |
8.5402144330722 |
L(r)(E,1)/r! |
Ω |
1.5362619655069 |
Real period |
R |
5.5590873332959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42720i4 85440ba4 128160h4 |
Quadratic twists by: -4 8 -3 |