Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544dl |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
530417011654656 = 220 · 36 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22284,-641520] |
[a1,a2,a3,a4,a6] |
Generators |
[1245:43605:1] |
Generators of the group modulo torsion |
j |
6403769793/2775556 |
j-invariant |
L |
7.5967309515888 |
L(r)(E,1)/r! |
Ω |
0.40647816733742 |
Real period |
R |
4.6722871993734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990618 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68544bx2 17136z2 7616i2 |
Quadratic twists by: -4 8 -3 |