Atkin-Lehner |
7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27209b |
Isogeny class |
Conductor |
27209 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.7858713042154E+24 |
Discriminant |
Eigenvalues |
0 1 -3 7+ 3 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-26963837,-83903328245] |
[a1,a2,a3,a4,a6] |
Generators |
[1096889541:-188556895952:35937] |
Generators of the group modulo torsion |
j |
-449167881463536812032/369990050199923699 |
j-invariant |
L |
3.3113919693071 |
L(r)(E,1)/r! |
Ω |
0.032006363987959 |
Real period |
R |
12.932552923509 |
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 |
2093f2 |
Quadratic twists by: 13 |