Atkin-Lehner |
2- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111188n |
Isogeny class |
Conductor |
111188 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
1678049296 = 24 · 74 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 11+ 3 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-386,-2287] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:7:1] [-7:11:1] |
Generators of the group modulo torsion |
j |
1104035584/290521 |
j-invariant |
L |
13.175874590764 |
L(r)(E,1)/r! |
Ω |
1.0979232153692 |
Real period |
R |
0.50003020889988 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111188m1 |
Quadratic twists by: -19 |