Atkin-Lehner |
2+ 3- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45240k |
Isogeny class |
Conductor |
45240 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-1.1037032430503E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,213000,155367648] |
[a1,a2,a3,a4,a6] |
Generators |
[1788:79092:1] |
Generators of the group modulo torsion |
j |
1043663576155667996/10778351982913125 |
j-invariant |
L |
6.1507921010109 |
L(r)(E,1)/r! |
Ω |
0.16719154682571 |
Real period |
R |
0.38321764627836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480k3 |
Quadratic twists by: -4 |