Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840l |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
533320471962593280 = 211 · 312 · 5 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23801763,44695280702] |
[a1,a2,a3,a4,a6] |
j |
998834675784351577922/357215893965 |
j-invariant |
L |
0.94649191051703 |
L(r)(E,1)/r! |
Ω |
0.23662297763472 |
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 |
85680bf6 14280bj5 |
Quadratic twists by: -4 -3 |