Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360db |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.531580890199E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3028816,1938537620] |
[a1,a2,a3,a4,a6] |
Generators |
[-1774:41616:1] |
Generators of the group modulo torsion |
j |
31080575499121/1549125000 |
j-invariant |
L |
7.590029378942 |
L(r)(E,1)/r! |
Ω |
0.18029633628073 |
Real period |
R |
1.7540635082375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8670n2 4080v2 |
Quadratic twists by: -4 17 |