Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
27072bd |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
26945519616 = 218 · 37 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-433164,-109730320] |
[a1,a2,a3,a4,a6] |
Generators |
[-30763006447530:-42252851285:80957957976] |
Generators of the group modulo torsion |
j |
47034153084673/141 |
j-invariant |
L |
6.8991469580837 |
L(r)(E,1)/r! |
Ω |
0.18609575468227 |
Real period |
R |
18.536551169217 |
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 |
27072ce4 423c3 9024e4 |
Quadratic twists by: -4 8 -3 |