Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69696b |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6083246083532783616 = 217 · 39 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6181164,-5913792720] |
[a1,a2,a3,a4,a6] |
Generators |
[-123066819603:93536352575:85766121] |
Generators of the group modulo torsion |
j |
4293378 |
j-invariant |
L |
6.937656892681 |
L(r)(E,1)/r! |
Ω |
0.09574984028255 |
Real period |
R |
18.114016881646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999292 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696du2 8712p2 69696d2 69696a2 |
Quadratic twists by: -4 8 -3 -11 |