Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368u |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.0280157791867E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 13+ -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1703244,-702893968] |
[a1,a2,a3,a4,a6] |
j |
5718957389087906/1075876263891 |
j-invariant |
L |
1.0710006922487 |
L(r)(E,1)/r! |
Ω |
0.13387509146887 |
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 |
82368ep2 10296g2 27456q2 |
Quadratic twists by: -4 8 -3 |