Atkin-Lehner |
3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27489g |
Isogeny class |
Conductor |
27489 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5229464284737 = -1 · 32 · 710 · 112 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 11+ 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2792,95402] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:273:1] |
Generators of the group modulo torsion |
j |
20458415375/44449713 |
j-invariant |
L |
2.4284855675597 |
L(r)(E,1)/r! |
Ω |
0.53082898054534 |
Real period |
R |
1.1437231465136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82467y2 3927e2 |
Quadratic twists by: -3 -7 |