Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208t |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-812707151872 = -1 · 216 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ -2 4 7+ 11- 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,43327] |
[a1,a2,a3,a4,a6] |
j |
-4/7 |
j-invariant |
L |
2.8766850252412 |
L(r)(E,1)/r! |
Ω |
0.71917125674422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54208cz1 6776g1 448h1 |
Quadratic twists by: -4 8 -11 |