Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208bj |
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] |
Generators |
[487700973871:7011496342452:2062933417] |
Generators of the group modulo torsion |
j |
-7744/49 |
j-invariant |
L |
9.6803916180863 |
L(r)(E,1)/r! |
Ω |
0.25478337142938 |
Real period |
R |
18.99729869296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208q1 27104y1 54208n1 |
Quadratic twists by: -4 8 -11 |