Atkin-Lehner |
2- 3+ 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420f |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6461928900000000 = -1 · 28 · 39 · 58 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29727,4341654] |
[a1,a2,a3,a4,a6] |
j |
-576561586032/1282421875 |
j-invariant |
L |
3.0013472947377 |
L(r)(E,1)/r! |
Ω |
0.37516841380882 |
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 |
84420b2 |
Quadratic twists by: -3 |