Atkin-Lehner |
3- 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
16215d |
Isogeny class |
Conductor |
16215 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2784 |
Modular degree for the optimal curve |
Δ |
-729675 = -1 · 33 · 52 · 23 · 47 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 0 -2 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,4,-40] |
[a1,a2,a3,a4,a6] |
Generators |
[4:7:1] |
Generators of the group modulo torsion |
j |
5451776/729675 |
j-invariant |
L |
3.1147021063844 |
L(r)(E,1)/r! |
Ω |
1.3486996846477 |
Real period |
R |
0.3849018603918 |
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 |
48645k1 81075e1 |
Quadratic twists by: -3 5 |