Atkin-Lehner |
2- 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
45540k |
Isogeny class |
Conductor |
45540 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2229120 |
Modular degree for the optimal curve |
Δ |
-2.838716898435E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 11+ 0 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6528648,6471677972] |
[a1,a2,a3,a4,a6] |
j |
-164902021520455131136/1521088873046875 |
j-invariant |
L |
3.4856335419456 |
L(r)(E,1)/r! |
Ω |
0.1742816770948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5060e1 |
Quadratic twists by: -3 |