Atkin-Lehner |
2- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
16048bb |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-69840896 = -1 · 212 · 172 · 59 |
Discriminant |
Eigenvalues |
2- -1 1 -3 -4 0 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,688] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:16:1] [-6:34:1] |
Generators of the group modulo torsion |
j |
-47045881/17051 |
j-invariant |
L |
5.7442544237442 |
L(r)(E,1)/r! |
Ω |
1.8353892154096 |
Real period |
R |
0.39121500602679 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1003b1 64192cb1 |
Quadratic twists by: -4 8 |