Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4446f |
Isogeny class |
Conductor |
4446 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-3286509876 = -1 · 22 · 39 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 -2 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54,2776] |
[a1,a2,a3,a4,a6] |
Generators |
[50:326:1] |
Generators of the group modulo torsion |
j |
-24137569/4508244 |
j-invariant |
L |
2.6461666740006 |
L(r)(E,1)/r! |
Ω |
1.1549541627879 |
Real period |
R |
0.095464346813456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35568cd1 1482h1 111150eb1 57798bk1 |
Quadratic twists by: -4 -3 5 13 |