Atkin-Lehner |
3- 5- 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
82305h |
Isogeny class |
Conductor |
82305 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
5166696375 = 36 · 53 · 312 · 59 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-353994,-80978167] |
[a1,a2,a3,a4,a6] |
j |
6729527574851074209/7087375 |
j-invariant |
L |
1.1743613761122 |
L(r)(E,1)/r! |
Ω |
0.19572690194173 |
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 |
9145a2 |
Quadratic twists by: -3 |