Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450ge |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-46880287274700 = -1 · 22 · 37 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8735,457427] |
[a1,a2,a3,a4,a6] |
j |
-18865/12 |
j-invariant |
L |
2.3564815170849 |
L(r)(E,1)/r! |
Ω |
0.58912037917959 |
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 |
18150bi1 54450dq1 54450cl1 |
Quadratic twists by: -3 5 -11 |