Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664du |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
218763120632168448 = 215 · 310 · 76 · 312 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 2 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2533601,-1552909473] |
[a1,a2,a3,a4,a6] |
j |
54889416482350564808/6676120624761 |
j-invariant |
L |
4.7866111250951 |
L(r)(E,1)/r! |
Ω |
0.1196652781301 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664cx2 20832f2 124992fm2 |
Quadratic twists by: -4 8 -3 |