Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400ce |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-443357523475200 = -1 · 28 · 33 · 52 · 376 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17307,-502497] |
[a1,a2,a3,a4,a6] |
Generators |
[20937:303918:343] |
Generators of the group modulo torsion |
j |
89574424248320/69274613043 |
j-invariant |
L |
7.5775670655659 |
L(r)(E,1)/r! |
Ω |
0.29455319535091 |
Real period |
R |
2.1438026546543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11100a2 44400by2 |
Quadratic twists by: -4 5 |