Atkin-Lehner |
2- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
4970g |
Isogeny class |
Conductor |
4970 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-606689453125000 = -1 · 23 · 516 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,13067,1032981] |
[a1,a2,a3,a4,a6] |
j |
246764421781367391/606689453125000 |
j-invariant |
L |
2.1565787145726 |
L(r)(E,1)/r! |
Ω |
0.3594297857621 |
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 |
39760o3 44730p3 24850c3 34790w3 |
Quadratic twists by: -4 -3 5 -7 |