Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37570k |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1.3389034463219E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10653028,-13368882569] |
[a1,a2,a3,a4,a6] |
Generators |
[-1925:2407:1] |
Generators of the group modulo torsion |
j |
5539229398623592881/5546968902800 |
j-invariant |
L |
9.147908882011 |
L(r)(E,1)/r! |
Ω |
0.083571346846775 |
Real period |
R |
1.7103478844667 |
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 |
2210g3 |
Quadratic twists by: 17 |