Atkin-Lehner |
2- 7+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
55384i |
Isogeny class |
Conductor |
55384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52480 |
Modular degree for the optimal curve |
Δ |
-782968481792 = -1 · 211 · 75 · 232 · 43 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 3 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2448,-62324] |
[a1,a2,a3,a4,a6] |
j |
-792511177250/382308829 |
j-invariant |
L |
0.66342840688886 |
L(r)(E,1)/r! |
Ω |
0.33171420290373 |
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 |
110768g1 |
Quadratic twists by: -4 |