Atkin-Lehner |
2- 3+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
81168bl |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
4792889232 = 24 · 311 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 2 -5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-550,3871] |
[a1,a2,a3,a4,a6] |
j |
1152076147456/299555577 |
j-invariant |
L |
1.2820642823811 |
L(r)(E,1)/r! |
Ω |
1.2820643354983 |
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 |
20292i1 |
Quadratic twists by: -4 |