Atkin-Lehner |
3- 5- 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16215g |
Isogeny class |
Conductor |
16215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1472 |
Modular degree for the optimal curve |
Δ |
243225 = 32 · 52 · 23 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- -2 0 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18,-17] |
[a1,a2,a3,a4,a6] |
Generators |
[46:45:8] |
Generators of the group modulo torsion |
j |
594823321/243225 |
j-invariant |
L |
7.0508411551838 |
L(r)(E,1)/r! |
Ω |
2.4186147374886 |
Real period |
R |
2.9152394740244 |
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 |
48645e1 81075g1 |
Quadratic twists by: -3 5 |