Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664dz |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
38411082909351936 = 222 · 34 · 76 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133057,16082495] |
[a1,a2,a3,a4,a6] |
j |
993802845830257/146526652944 |
j-invariant |
L |
4.1945857794531 |
L(r)(E,1)/r! |
Ω |
0.3495488149568 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41664j2 10416z2 124992ga2 |
Quadratic twists by: -4 8 -3 |