Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450bh |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-1375155093391200 = -1 · 25 · 36 · 52 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ -1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18717,2042981] |
[a1,a2,a3,a4,a6] |
j |
-16875/32 |
j-invariant |
L |
1.71567432756 |
L(r)(E,1)/r! |
Ω |
0.42891858205213 |
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 |
6050v1 54450gn1 54450fc1 |
Quadratic twists by: -3 5 -11 |