Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168bt |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7696253657088 = 213 · 34 · 194 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16272,793152] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:360:1] |
Generators of the group modulo torsion |
j |
116335767754513/1878968178 |
j-invariant |
L |
8.1038625132664 |
L(r)(E,1)/r! |
Ω |
0.742195104206 |
Real period |
R |
2.7296941427722 |
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 |
10146s3 |
Quadratic twists by: -4 |