Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680bb |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
320 |
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 |
[-5839:6804:1] |
Generators of the group modulo torsion |
j |
83609231549925663172082/22317062975463375 |
j-invariant |
L |
5.2748867013192 |
L(r)(E,1)/r! |
Ω |
0.047263314836805 |
Real period |
R |
1.3950795438022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840bm2 28560by2 |
Quadratic twists by: -4 -3 |