Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680fw |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1852877124403200 = 220 · 312 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4540705,-3725713825] |
[a1,a2,a3,a4,a6] |
j |
39496057701398850889/7068165300 |
j-invariant |
L |
4.9643239687733 |
L(r)(E,1)/r! |
Ω |
0.10342338060323 |
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 |
127680bu4 31920v4 |
Quadratic twists by: -4 8 |