Atkin-Lehner |
3+ 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
82173b |
Isogeny class |
Conductor |
82173 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-431561762886891 = -1 · 3 · 77 · 133 · 433 |
Discriminant |
Eigenvalues |
0 3+ -3 7- -3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9277,1060107] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:1053:1] |
Generators of the group modulo torsion |
j |
-750593769472/3668214459 |
j-invariant |
L |
2.2203016394483 |
L(r)(E,1)/r! |
Ω |
0.45962338791076 |
Real period |
R |
0.80511628156836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11739i2 |
Quadratic twists by: -7 |