Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
570m |
Isogeny class |
Conductor |
570 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
570 = 2 · 3 · 5 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3040,64262] |
[a1,a2,a3,a4,a6] |
j |
3107086841064961/570 |
j-invariant |
L |
3.0009972890661 |
L(r)(E,1)/r! |
Ω |
3.0009972890661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4560u3 18240k4 1710d3 2850b4 |
Quadratic twists by: -4 8 -3 5 |