Atkin-Lehner |
3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27753f |
Isogeny class |
Conductor |
27753 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-9.9831804604136E+18 |
Discriminant |
Eigenvalues |
-1 3- -2 -2 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-291424,163609109] |
[a1,a2,a3,a4,a6] |
Generators |
[-481:14117:1] |
Generators of the group modulo torsion |
j |
-4601630708137/16783438221 |
j-invariant |
L |
2.8665576292101 |
L(r)(E,1)/r! |
Ω |
0.20052696014194 |
Real period |
R |
0.51054011946128 |
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 |
83259f2 957a2 |
Quadratic twists by: -3 29 |