Atkin-Lehner |
2+ 3- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990t |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-3.064638710188E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2377494,1643862708] |
[a1,a2,a3,a4,a6] |
Generators |
[198086208:-4472763699:262144] |
Generators of the group modulo torsion |
j |
-2038705879273356410209/420389397831000000 |
j-invariant |
L |
5.2103301608307 |
L(r)(E,1)/r! |
Ω |
0.16503330189896 |
Real period |
R |
7.89284662681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
18330x3 |
Quadratic twists by: -3 |