Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
570k |
Isogeny class |
Conductor |
570 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
886464000000 = 212 · 36 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-414991,102863225] |
[a1,a2,a3,a4,a6] |
j |
7903870428425797297009/886464000000 |
j-invariant |
L |
2.7435733370843 |
L(r)(E,1)/r! |
Ω |
0.68589333427107 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
4560n2 18240q2 1710j2 2850d2 |
Quadratic twists by: -4 8 -3 5 |