Atkin-Lehner |
2+ 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664j |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
32 |
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 |
2.0194864367684 |
L(r)(E,1)/r! |
Ω |
0.2524358045996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41664dz2 1302o2 124992cc2 |
Quadratic twists by: -4 8 -3 |