Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
90048cb |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
7.3575432563249E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1198849,291063551] |
[a1,a2,a3,a4,a6] |
Generators |
[1391:-36288:1] |
Generators of the group modulo torsion |
j |
726904920233564353/280668001416201 |
j-invariant |
L |
5.0942010670513 |
L(r)(E,1)/r! |
Ω |
0.17682914920526 |
Real period |
R |
0.80023901980412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011523 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90048c2 22512o2 |
Quadratic twists by: -4 8 |