Atkin-Lehner |
2+ 3+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
58176d |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-4169102524416 = -1 · 221 · 39 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 -4 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,98928] |
[a1,a2,a3,a4,a6] |
j |
-19683/808 |
j-invariant |
L |
2.5924208335628 |
L(r)(E,1)/r! |
Ω |
0.64810520821718 |
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 |
58176bp1 1818a1 58176a1 |
Quadratic twists by: -4 8 -3 |