Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
570d |
Isogeny class |
Conductor |
570 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
805586668007040 = 27 · 320 · 5 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1233444,-527363678] |
[a1,a2,a3,a4,a6] |
j |
207530301091125281552569/805586668007040 |
j-invariant |
L |
1.4325831504345 |
L(r)(E,1)/r! |
Ω |
0.14325831504345 |
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 |
4560q4 18240x3 1710s4 2850q3 |
Quadratic twists by: -4 8 -3 5 |