Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11856bd |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-3035136 = -1 · 212 · 3 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 0 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,116] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
-1771561/741 |
j-invariant |
L |
5.4664298213854 |
L(r)(E,1)/r! |
Ω |
2.3726745693868 |
Real period |
R |
1.1519552432338 |
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 |
741a1 47424co1 35568bj1 |
Quadratic twists by: -4 8 -3 |