Atkin-Lehner |
2- 3+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48144f |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
404352 |
Modular degree for the optimal curve |
Δ |
-2251884873940992 = -1 · 215 · 39 · 17 · 593 |
Discriminant |
Eigenvalues |
2- 3+ 0 -5 6 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54168,5380848] |
[a1,a2,a3,a4,a6] |
j |
-4291411730937625/549776580552 |
j-invariant |
L |
1.7903699197682 |
L(r)(E,1)/r! |
Ω |
0.44759247982956 |
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 |
6018d1 |
Quadratic twists by: -4 |