Atkin-Lehner |
2- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44608y |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
260816720887808 = 229 · 172 · 412 |
Discriminant |
Eigenvalues |
2- 0 0 0 0 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-699980,-225410416] |
[a1,a2,a3,a4,a6] |
Generators |
[1216:26860:1] [2140:89872:1] |
Generators of the group modulo torsion |
j |
144690722229371625/994936832 |
j-invariant |
L |
8.944167964132 |
L(r)(E,1)/r! |
Ω |
0.16505486359305 |
Real period |
R |
27.094530174477 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44608b2 11152k2 |
Quadratic twists by: -4 8 |