Atkin-Lehner |
2+ 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650t |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3.69899868375E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2524776,-1236361802] |
[a1,a2,a3,a4,a6] |
Generators |
[-1144:13026:1] |
Generators of the group modulo torsion |
j |
113912661380155921009/23673591576000000 |
j-invariant |
L |
5.2103858578561 |
L(r)(E,1)/r! |
Ω |
0.12152268339039 |
Real period |
R |
3.5729857933466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530t2 |
Quadratic twists by: 5 |