Atkin-Lehner |
3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27489r |
Isogeny class |
Conductor |
27489 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-2.451461948585E+23 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11+ 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3373061,-23701671190] |
[a1,a2,a3,a4,a6] |
Generators |
[2531:31148:1] |
Generators of the group modulo torsion |
j |
36075142039228937567/2083708275110728497 |
j-invariant |
L |
3.3329898408182 |
L(r)(E,1)/r! |
Ω |
0.047174241233823 |
Real period |
R |
1.7663187332987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82467bd3 3927d4 |
Quadratic twists by: -3 -7 |