Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840ck |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2145474548188231680 = 211 · 311 · 5 · 72 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363387,-46287754] |
[a1,a2,a3,a4,a6] |
Generators |
[97494470:-8702141508:12167] |
Generators of the group modulo torsion |
j |
3554466219659378/1437030170415 |
j-invariant |
L |
5.720133792971 |
L(r)(E,1)/r! |
Ω |
0.2014108596863 |
Real period |
R |
14.200162299792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680bp2 14280f2 |
Quadratic twists by: -4 -3 |