Atkin-Lehner |
2- 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
82544bc |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
10767360 |
Modular degree for the optimal curve |
Δ |
-9.6986653716878E+23 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15700549,-40886229974] |
[a1,a2,a3,a4,a6] |
j |
104498072547106119367023/236783822550971263183 |
j-invariant |
L |
0.91281480941632 |
L(r)(E,1)/r! |
Ω |
0.045640740375131 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5159d1 |
Quadratic twists by: -4 |