Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970x |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1570425050304000000 = 212 · 36 · 56 · 116 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-50213914,-136961166388] |
[a1,a2,a3,a4,a6] |
Generators |
[-1591978379:787233689:389017] |
Generators of the group modulo torsion |
j |
7903870428425797297009/886464000000 |
j-invariant |
L |
5.6227806923894 |
L(r)(E,1)/r! |
Ω |
0.056714425873301 |
Real period |
R |
8.2618319834775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570k2 |
Quadratic twists by: -11 |