Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1785j |
Isogeny class |
Conductor |
1785 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
992266372125 = 34 · 53 · 78 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11784,-490979] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:72:1] |
Generators of the group modulo torsion |
j |
180945977944161529/992266372125 |
j-invariant |
L |
3.9002053811488 |
L(r)(E,1)/r! |
Ω |
0.4583784366921 |
Real period |
R |
1.0635877118519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560ce3 114240ca3 5355r4 8925e3 |
Quadratic twists by: -4 8 -3 5 |