Atkin-Lehner |
2+ 3+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850f |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
984300384248156250 = 2 · 36 · 56 · 116 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6522450,-6414108750] |
[a1,a2,a3,a4,a6] |
Generators |
[-6076041110943843:1646715134157305:4109069876913] |
Generators of the group modulo torsion |
j |
1963975500122834382625/62995224591882 |
j-invariant |
L |
4.6915018028629 |
L(r)(E,1)/r! |
Ω |
0.094470821561291 |
Real period |
R |
24.830427666959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1914m4 |
Quadratic twists by: 5 |