Atkin-Lehner |
3+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
110019n |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
269237634581097 = 32 · 7 · 1310 · 31 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16396,165859] |
[a1,a2,a3,a4,a6] |
Generators |
[-2198:179563:343] |
Generators of the group modulo torsion |
j |
100999381393/55779633 |
j-invariant |
L |
5.4352997327893 |
L(r)(E,1)/r! |
Ω |
0.4782172531502 |
Real period |
R |
5.6828770810661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463a1 |
Quadratic twists by: 13 |