Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664dh |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-273357504 = -1 · 26 · 39 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 0 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,91,753] |
[a1,a2,a3,a4,a6] |
Generators |
[16:81:1] |
Generators of the group modulo torsion |
j |
1287913472/4271211 |
j-invariant |
L |
8.4649507162159 |
L(r)(E,1)/r! |
Ω |
1.2313389769843 |
Real period |
R |
0.7638433422153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41664bb1 10416r1 124992er1 |
Quadratic twists by: -4 8 -3 |