Atkin-Lehner |
3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21801b |
Isogeny class |
Conductor |
21801 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
105229263009 = 3 · 138 · 43 |
Discriminant |
Eigenvalues |
1 3+ -2 -2 2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1186,-2465] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:125:1] |
Generators of the group modulo torsion |
j |
38272753/21801 |
j-invariant |
L |
3.2628402202881 |
L(r)(E,1)/r! |
Ω |
0.87965135632308 |
Real period |
R |
3.7092425275471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65403h1 1677a1 |
Quadratic twists by: -3 13 |