Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44640m |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3282956455196160000 = 212 · 316 · 54 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1357068,-602208992] |
[a1,a2,a3,a4,a6] |
Generators |
[-622:1116:1] |
Generators of the group modulo torsion |
j |
92563776571134016/1099455474375 |
j-invariant |
L |
5.201492047589 |
L(r)(E,1)/r! |
Ω |
0.13997839647885 |
Real period |
R |
1.5483020292291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44640bg2 89280co1 14880q2 |
Quadratic twists by: -4 8 -3 |