Atkin-Lehner |
3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
27489v |
Isogeny class |
Conductor |
27489 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-2.2511129004454E+20 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 11- -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10825718,-13729758267] |
[a1,a2,a3,a4,a6] |
Generators |
[7627:585583:1] |
Generators of the group modulo torsion |
j |
-1192629656009513436625/1913414394041073 |
j-invariant |
L |
3.769575033768 |
L(r)(E,1)/r! |
Ω |
0.041611523596524 |
Real period |
R |
2.5163802849414 |
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 |
82467r2 3927a2 |
Quadratic twists by: -3 -7 |