Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840bm |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.3319196485863E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104118843,408829225142] |
[a1,a2,a3,a4,a6] |
Generators |
[557636096974:2120981102028:91733851] |
Generators of the group modulo torsion |
j |
83609231549925663172082/22317062975463375 |
j-invariant |
L |
4.2535004500712 |
L(r)(E,1)/r! |
Ω |
0.11385673064317 |
Real period |
R |
18.679178762829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680bb2 14280j2 |
Quadratic twists by: -4 -3 |