Atkin-Lehner |
2+ 5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040m |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
35580160 = 28 · 5 · 7 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2047,35646] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:114:1] |
Generators of the group modulo torsion |
j |
3705418579536/138985 |
j-invariant |
L |
5.5375967174247 |
L(r)(E,1)/r! |
Ω |
1.9315390227057 |
Real period |
R |
2.866934948952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999978267 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58520t2 |
Quadratic twists by: -4 |