Atkin-Lehner |
2+ 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
12166h |
Isogeny class |
Conductor |
12166 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
14960 |
Modular degree for the optimal curve |
Δ |
-29911619584 = -1 · 211 · 75 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 0 3 7- 11+ -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4838,-128588] |
[a1,a2,a3,a4,a6] |
j |
-12524828773793337/29911619584 |
j-invariant |
L |
1.4308916616421 |
L(r)(E,1)/r! |
Ω |
0.28617833232841 |
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 |
97328r1 109494cp1 85162d1 |
Quadratic twists by: -4 -3 -7 |