Atkin-Lehner |
2- 3+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16302n |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
1723511083008 = 212 · 3 · 112 · 132 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8766252,9986429133] |
[a1,a2,a3,a4,a6] |
Generators |
[4209:216245:1] |
Generators of the group modulo torsion |
j |
74501594581804121757972673/1723511083008 |
j-invariant |
L |
7.4187766922006 |
L(r)(E,1)/r! |
Ω |
0.43844080312046 |
Real period |
R |
5.640272407282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48906i1 |
Quadratic twists by: -3 |