Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
82810t |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.4977543004543E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -2 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,598820,561001650] |
[a1,a2,a3,a4,a6] |
Generators |
[-28236:943305:64] |
Generators of the group modulo torsion |
j |
19034163/120050 |
j-invariant |
L |
3.2015812616472 |
L(r)(E,1)/r! |
Ω |
0.13258924845359 |
Real period |
R |
6.0366532294015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830j2 82810cr2 |
Quadratic twists by: -7 13 |