Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168bt |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
332464128 = 216 · 3 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1712,-26688] |
[a1,a2,a3,a4,a6] |
Generators |
[-310732040:-23926784:12977875] |
Generators of the group modulo torsion |
j |
135559106353/81168 |
j-invariant |
L |
8.1038625132664 |
L(r)(E,1)/r! |
Ω |
0.742195104206 |
Real period |
R |
10.918776571089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10146s1 |
Quadratic twists by: -4 |