Atkin-Lehner |
2+ 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384bg |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-298833954926217984 = -1 · 28 · 312 · 7 · 13 · 176 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -2 13- 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49188,26634116] |
[a1,a2,a3,a4,a6] |
Generators |
[226:5202:1] |
Generators of the group modulo torsion |
j |
-70523476274176/1601262189891 |
j-invariant |
L |
5.7957155620943 |
L(r)(E,1)/r! |
Ω |
0.25772549817248 |
Real period |
R |
0.46849875189359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987856 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37128t1 |
Quadratic twists by: -3 |