Atkin-Lehner |
2+ 3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384b |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
55817418384 = 24 · 33 · 7 · 13 · 175 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 6 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6327,-193373] |
[a1,a2,a3,a4,a6] |
j |
64838576072448/129206987 |
j-invariant |
L |
2.1414703910325 |
L(r)(E,1)/r! |
Ω |
0.53536760439695 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111384bl1 |
Quadratic twists by: -3 |