Atkin-Lehner |
2+ 3- 7- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258p |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-1.3992955170767E+26 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,90299544,463504068790] |
[a1,a2,a3,a4,a6] |
Generators |
[-80445394:20467338705:39304] |
Generators of the group modulo torsion |
j |
81429241723003237122139610375/139929551707666511422291968 |
j-invariant |
L |
5.0322293696919 |
L(r)(E,1)/r! |
Ω |
0.039843895208631 |
Real period |
R |
14.033181085952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81774cl2 |
Quadratic twists by: -3 |