Atkin-Lehner |
2- 3+ 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
126480ba |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1.4217227816325E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3932576,2997500160] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:61200:1] [224:46128:1] |
Generators of the group modulo torsion |
j |
1642083540441698851489/3471002884845000 |
j-invariant |
L |
9.6898039987719 |
L(r)(E,1)/r! |
Ω |
0.22296166131189 |
Real period |
R |
2.7162192213081 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975746 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15810s3 |
Quadratic twists by: -4 |