Atkin-Lehner |
2+ 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168c |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
340480 |
Modular degree for the optimal curve |
Δ |
31446146251152 = 24 · 319 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 4 -1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48488,4116939] |
[a1,a2,a3,a4,a6] |
j |
787980552555424000/1965384140697 |
j-invariant |
L |
0.66062422292208 |
L(r)(E,1)/r! |
Ω |
0.66062420738756 |
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 |
40584bd1 |
Quadratic twists by: -4 |