Atkin-Lehner |
2+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44096a |
Isogeny class |
Conductor |
44096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
45154304 = 216 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58796,-5487440] |
[a1,a2,a3,a4,a6] |
Generators |
[-2321380005:873593:16581375] |
Generators of the group modulo torsion |
j |
342994475602692/689 |
j-invariant |
L |
3.6103421392531 |
L(r)(E,1)/r! |
Ω |
0.30659326432242 |
Real period |
R |
11.775673373762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44096k4 5512b3 |
Quadratic twists by: -4 8 |