Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
45540t |
Isogeny class |
Conductor |
45540 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
342187353066240 = 28 · 38 · 5 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45687,3651806] |
[a1,a2,a3,a4,a6] |
Generators |
[1298:5715:8] |
Generators of the group modulo torsion |
j |
56511149663824/1833565635 |
j-invariant |
L |
5.6452413287744 |
L(r)(E,1)/r! |
Ω |
0.53696667809738 |
Real period |
R |
5.2566030249602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15180e2 |
Quadratic twists by: -3 |