Atkin-Lehner |
2+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810x |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-15222677640625000 = -1 · 23 · 59 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 0 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-168978,-27400852] |
[a1,a2,a3,a4,a6] |
j |
-547695899569/15625000 |
j-invariant |
L |
1.0578510488223 |
L(r)(E,1)/r! |
Ω |
0.11753900447769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82810k2 82810br2 |
Quadratic twists by: -7 13 |