Atkin-Lehner |
2- 3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109956p |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
33866448 = 24 · 3 · 73 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93,-174] |
[a1,a2,a3,a4,a6] |
j |
16384000/6171 |
j-invariant |
L |
1.5851981019279 |
L(r)(E,1)/r! |
Ω |
1.5851982094123 |
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 |
109956bk1 |
Quadratic twists by: -7 |