Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450bi |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-6961722660292950 = -1 · 2 · 310 · 52 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1595952,-775640354] |
[a1,a2,a3,a4,a6] |
j |
-10461203195/162 |
j-invariant |
L |
0.26864216462752 |
L(r)(E,1)/r! |
Ω |
0.067160541083957 |
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 |
18150bt1 54450gm1 54450ez1 |
Quadratic twists by: -3 5 -11 |