Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11856bf |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-320112 = -1 · 24 · 34 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-242,-1533] |
[a1,a2,a3,a4,a6] |
Generators |
[19:33:1] |
Generators of the group modulo torsion |
j |
-98365589248/20007 |
j-invariant |
L |
6.0976457752687 |
L(r)(E,1)/r! |
Ω |
0.60500779567507 |
Real period |
R |
2.5196558700806 |
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 |
2964b1 47424cq1 35568bl1 |
Quadratic twists by: -4 8 -3 |