Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544dq |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5.5969316683602E+26 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,201551604,287406031376] |
[a1,a2,a3,a4,a6] |
Generators |
[-257970528831820602330859072:-75716989681202287283281655932:258859993126933498701367] |
Generators of the group modulo torsion |
j |
4738217997934888496063/2928751705237796928 |
j-invariant |
L |
4.7461485565068 |
L(r)(E,1)/r! |
Ω |
0.032025539233948 |
Real period |
R |
37.049716185628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544ca3 17136y4 22848bx3 |
Quadratic twists by: -4 8 -3 |