Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540x |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-2035828080 = -1 · 24 · 34 · 5 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1746,-28755] |
[a1,a2,a3,a4,a6] |
Generators |
[69:429:1] |
Generators of the group modulo torsion |
j |
-1288877824/4455 |
j-invariant |
L |
8.8772329107854 |
L(r)(E,1)/r! |
Ω |
0.36918827620819 |
Real period |
R |
2.0037727522172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111540bl1 |
Quadratic twists by: 13 |