Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168cn |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
37900910592 = 217 · 32 · 192 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -6 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-243048,-46200780] |
[a1,a2,a3,a4,a6] |
Generators |
[-7764048810996:-22285976678:27243729729] |
Generators of the group modulo torsion |
j |
387651711819723625/9253152 |
j-invariant |
L |
7.4599027128275 |
L(r)(E,1)/r! |
Ω |
0.21501878004705 |
Real period |
R |
17.347095705251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10146b2 |
Quadratic twists by: -4 |