Atkin-Lehner |
2+ 3+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
18744a |
Isogeny class |
Conductor |
18744 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
144626816420418816 = 28 · 34 · 117 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 11- -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161161,-16838291] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:1562:1] |
Generators of the group modulo torsion |
j |
1808282594853182464/564948501642261 |
j-invariant |
L |
4.5528256723783 |
L(r)(E,1)/r! |
Ω |
0.24411592114032 |
Real period |
R |
0.11101345903694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37488j1 56232i1 |
Quadratic twists by: -4 -3 |