Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400bt |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-1050340608000000000 = -1 · 217 · 34 · 59 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -5 0 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2332208,1372542912] |
[a1,a2,a3,a4,a6] |
Generators |
[842:-2250:1] |
Generators of the group modulo torsion |
j |
-175362106452317/131292576 |
j-invariant |
L |
3.7161658136633 |
L(r)(E,1)/r! |
Ω |
0.2742499724726 |
Real period |
R |
1.6937858644807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5550bn1 44400di1 |
Quadratic twists by: -4 5 |