Atkin-Lehner |
2- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13244c |
Isogeny class |
Conductor |
13244 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-5933312 = -1 · 28 · 72 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 1 4 7- 11+ 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,44,52] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:35:8] |
Generators of the group modulo torsion |
j |
35969456/23177 |
j-invariant |
L |
7.0123226723 |
L(r)(E,1)/r! |
Ω |
1.4934239574585 |
Real period |
R |
2.347733420667 |
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 |
52976u1 119196o1 92708a1 |
Quadratic twists by: -4 -3 -7 |