Atkin-Lehner |
2+ 7+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
55384b |
Isogeny class |
Conductor |
55384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
48640 |
Modular degree for the optimal curve |
Δ |
-61647819632 = -1 · 24 · 72 · 23 · 434 |
Discriminant |
Eigenvalues |
2+ 1 4 7+ -2 1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-516,-12943] |
[a1,a2,a3,a4,a6] |
Generators |
[43:215:1] |
Generators of the group modulo torsion |
j |
-951468070144/3852988727 |
j-invariant |
L |
9.3506885496071 |
L(r)(E,1)/r! |
Ω |
0.45669531153985 |
Real period |
R |
1.279667252088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110768h1 |
Quadratic twists by: -4 |