Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664cw |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-11114317971456 = -1 · 215 · 3 · 76 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14049,665409] |
[a1,a2,a3,a4,a6] |
Generators |
[59:196:1] |
Generators of the group modulo torsion |
j |
-9359247393224/339182067 |
j-invariant |
L |
3.9572925805185 |
L(r)(E,1)/r! |
Ω |
0.71396717273377 |
Real period |
R |
0.92378023613303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664dt2 20832r2 124992fy2 |
Quadratic twists by: -4 8 -3 |