Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
570b |
Isogeny class |
Conductor |
570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2166000000 = 27 · 3 · 56 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1998,-35148] |
[a1,a2,a3,a4,a6] |
j |
882774443450089/2166000000 |
j-invariant |
L |
0.71414503319683 |
L(r)(E,1)/r! |
Ω |
0.71414503319683 |
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 |
4560w2 18240bm2 1710t2 2850z2 |
Quadratic twists by: -4 8 -3 5 |