Atkin-Lehner |
2- 3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384bp |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
91951855155433728 = 28 · 39 · 75 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1956015,-1052845614] |
[a1,a2,a3,a4,a6] |
j |
164251368657126000/18248586811 |
j-invariant |
L |
2.553227020434 |
L(r)(E,1)/r! |
Ω |
0.12766134176414 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111384j1 |
Quadratic twists by: -3 |