Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664ej |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
1889447067648 = 214 · 312 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4177,78767] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:288:1] |
Generators of the group modulo torsion |
j |
492040858192/115322697 |
j-invariant |
L |
9.3883997628071 |
L(r)(E,1)/r! |
Ω |
0.78334586356757 |
Real period |
R |
0.99874995616593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664e1 10416f1 124992gx1 |
Quadratic twists by: -4 8 -3 |