Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27075r |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
2.061805949852E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 -6 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-686088,10801917] |
[a1,a2,a3,a4,a6] |
Generators |
[1797:-68586:1] |
Generators of the group modulo torsion |
j |
48587168449/28048275 |
j-invariant |
L |
4.3218123559272 |
L(r)(E,1)/r! |
Ω |
0.1834376336071 |
Real period |
R |
0.58900295851831 |
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 |
81225bb2 5415c2 1425c2 |
Quadratic twists by: -3 5 -19 |