Atkin-Lehner |
2+ 3+ 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
63240a |
Isogeny class |
Conductor |
63240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
809857764000000 = 28 · 36 · 56 · 172 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88076,9996660] |
[a1,a2,a3,a4,a6] |
Generators |
[-274:3672:1] |
Generators of the group modulo torsion |
j |
295162667156495824/3163506890625 |
j-invariant |
L |
2.4145412093895 |
L(r)(E,1)/r! |
Ω |
0.5047123779418 |
Real period |
R |
2.3919972196639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994037 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126480h2 |
Quadratic twists by: -4 |