Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680be |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1.8195857491335E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18855003,30837335002] |
[a1,a2,a3,a4,a6] |
Generators |
[101:170100:1] |
Generators of the group modulo torsion |
j |
993061270514775420004/24375023431250625 |
j-invariant |
L |
6.8488618079988 |
L(r)(E,1)/r! |
Ω |
0.12236932699935 |
Real period |
R |
1.7490243410613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990097 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42840m3 28560ca3 |
Quadratic twists by: -4 -3 |