Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44640j |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2928830400000000 = 212 · 310 · 58 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128028,-17438848] |
[a1,a2,a3,a4,a6] |
j |
77723279891776/980859375 |
j-invariant |
L |
1.0103336307651 |
L(r)(E,1)/r! |
Ω |
0.25258340775856 |
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 |
44640n3 89280ez1 14880j3 |
Quadratic twists by: -4 8 -3 |