Atkin-Lehner |
2+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
55744d |
Isogeny class |
Conductor |
55744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-489533997056 = -1 · 223 · 13 · 672 |
Discriminant |
Eigenvalues |
2+ 1 -3 -3 4 13+ 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2497,-59489] |
[a1,a2,a3,a4,a6] |
j |
-6570725617/1867424 |
j-invariant |
L |
1.3311057760872 |
L(r)(E,1)/r! |
Ω |
0.3327764444064 |
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 |
55744h1 1742a1 |
Quadratic twists by: -4 8 |