Atkin-Lehner |
2- 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
79680bo |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
713769615360000 = 221 · 38 · 54 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-229345,-42178943] |
[a1,a2,a3,a4,a6] |
j |
5089246809796729/2722815000 |
j-invariant |
L |
0.8726719623312 |
L(r)(E,1)/r! |
Ω |
0.21816798660206 |
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 |
79680ba4 19920n3 |
Quadratic twists by: -4 8 |