Atkin-Lehner |
2+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54208b |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-125713614946304 = -1 · 214 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ 11+ 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7979,461837] |
[a1,a2,a3,a4,a6] |
Generators |
[884:26411:1] |
Generators of the group modulo torsion |
j |
2575826944/5764801 |
j-invariant |
L |
2.8643757212523 |
L(r)(E,1)/r! |
Ω |
0.40788786304017 |
Real period |
R |
1.7556147049782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208cm1 3388a1 54208w1 |
Quadratic twists by: -4 8 -11 |