Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680bf |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
6881966481708057600 = 210 · 318 · 52 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1494363,-691703462] |
[a1,a2,a3,a4,a6] |
Generators |
[-757:2394:1] |
Generators of the group modulo torsion |
j |
494384157309702244/9219026601225 |
j-invariant |
L |
6.7461319336317 |
L(r)(E,1)/r! |
Ω |
0.1367027584466 |
Real period |
R |
3.0843067867876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004804 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42840l4 28560cb4 |
Quadratic twists by: -4 -3 |