Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208q |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
160512 |
Modular degree for the optimal curve |
Δ |
-81339763548736 = -1 · 26 · 72 · 1110 |
Discriminant |
Eigenvalues |
2+ -2 1 7+ 11- -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4880,451702] |
[a1,a2,a3,a4,a6] |
j |
-7744/49 |
j-invariant |
L |
1.0494447457538 |
L(r)(E,1)/r! |
Ω |
0.52472237284537 |
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 |
54208bj1 27104e1 54208bm1 |
Quadratic twists by: -4 8 -11 |