Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680bp |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
64 |
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 |
[-391:11340:1] |
Generators of the group modulo torsion |
j |
3554466219659378/1437030170415 |
j-invariant |
L |
7.8541923663531 |
L(r)(E,1)/r! |
Ω |
0.23645003276758 |
Real period |
R |
2.0760708601986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840ck2 28560bj2 |
Quadratic twists by: -4 -3 |