Atkin-Lehner |
2- 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
44240t |
Isogeny class |
Conductor |
44240 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
554946560 = 212 · 5 · 73 · 79 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 5 -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-752,7856] |
[a1,a2,a3,a4,a6] |
j |
11481993216/135485 |
j-invariant |
L |
1.646394252306 |
L(r)(E,1)/r! |
Ω |
1.6463942520918 |
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 |
2765c1 |
Quadratic twists by: -4 |