Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664dh |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-17657244864 = -1 · 26 · 33 · 73 · 313 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 0 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4229,104649] |
[a1,a2,a3,a4,a6] |
Generators |
[40:33:1] |
Generators of the group modulo torsion |
j |
-130725250859008/275894451 |
j-invariant |
L |
8.4649507162159 |
L(r)(E,1)/r! |
Ω |
1.2313389769843 |
Real period |
R |
2.2915300266459 |
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 |
41664bb2 10416r2 124992er2 |
Quadratic twists by: -4 8 -3 |