Atkin-Lehner |
2+ 3- 5- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
82170z |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-1.1234788174838E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- -1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1259694,567891108] |
[a1,a2,a3,a4,a6] |
Generators |
[672:4614:1] |
Generators of the group modulo torsion |
j |
-303243541573307037409/15411232064250000 |
j-invariant |
L |
5.1425349720667 |
L(r)(E,1)/r! |
Ω |
0.22441375417547 |
Real period |
R |
0.95480908159065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991688 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
27390w2 |
Quadratic twists by: -3 |