Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885a |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.2330643851261E+27 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-766269663,7692036832368] |
[a1,a2,a3,a4,a6] |
Generators |
[5371822436552397227704561974390:358109163399364523880643681766103:484086497113522553743961000] |
Generators of the group modulo torsion |
j |
10308809044982316013479361/669814029336181640625 |
j-invariant |
L |
4.2731726332899 |
L(r)(E,1)/r! |
Ω |
0.043980190677702 |
Real period |
R |
48.580651509731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83655bf4 2145e3 |
Quadratic twists by: -3 13 |