Atkin-Lehner |
2- 3+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932i |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-95113128870144 = -1 · 28 · 33 · 79 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ -4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4089,458302] |
[a1,a2,a3,a4,a6] |
j |
1093884111504/13760579987 |
j-invariant |
L |
2.6646114727365 |
L(r)(E,1)/r! |
Ω |
0.44410191744535 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
85932q2 |
Quadratic twists by: -3 |