Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880br |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.4011953416E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26038200,-50585416848] |
[a1,a2,a3,a4,a6] |
Generators |
[-1031338:-7770050:343] |
Generators of the group modulo torsion |
j |
476646772170172569823801/5862293314453125000 |
j-invariant |
L |
6.5552701267971 |
L(r)(E,1)/r! |
Ω |
0.066883627953264 |
Real period |
R |
8.1675071655476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610t5 |
Quadratic twists by: -4 |