Atkin-Lehner |
2- 7- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
112784t |
Isogeny class |
Conductor |
112784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-31457850425344 = -1 · 225 · 72 · 192 · 53 |
Discriminant |
Eigenvalues |
2- 2 -1 7- 3 -6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33936,-2410048] |
[a1,a2,a3,a4,a6] |
j |
-1055257664218129/7680139264 |
j-invariant |
L |
1.406385564785 |
L(r)(E,1)/r! |
Ω |
0.17579825115772 |
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 |
14098e1 |
Quadratic twists by: -4 |