Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54208z |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-52358856704 = -1 · 214 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ 3 3 7- 11+ 4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7216,236192] |
[a1,a2,a3,a4,a6] |
j |
-1905527808/2401 |
j-invariant |
L |
8.9592702953419 |
L(r)(E,1)/r! |
Ω |
1.1199087866614 |
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 |
54208bt1 6776b1 54208e1 |
Quadratic twists by: -4 8 -11 |