Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450fw |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
8508772140358050 = 2 · 38 · 52 · 1110 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68630,-5292493] |
[a1,a2,a3,a4,a6] |
j |
75625/18 |
j-invariant |
L |
5.400995458784 |
L(r)(E,1)/r! |
Ω |
0.30005530327939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150bc1 54450do1 54450ch1 |
Quadratic twists by: -3 5 -11 |