Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
32040g |
Isogeny class |
Conductor |
32040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1870908516000000 = 28 · 310 · 56 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37263,-1826062] |
[a1,a2,a3,a4,a6] |
Generators |
[1297:46170:1] |
Generators of the group modulo torsion |
j |
30661236711376/10025015625 |
j-invariant |
L |
5.8971968935579 |
L(r)(E,1)/r! |
Ω |
0.35258340446335 |
Real period |
R |
4.1814197852944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64080c2 10680a2 |
Quadratic twists by: -4 -3 |