Atkin-Lehner |
2- 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664bb |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1175150294728704 = -1 · 221 · 39 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 3 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55971,5356962] |
[a1,a2,a3,a4,a6] |
j |
-240525801459/14576128 |
j-invariant |
L |
1.9207830320295 |
L(r)(E,1)/r! |
Ω |
0.48019575942724 |
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 |
10458b2 83664bd1 |
Quadratic twists by: -4 -3 |