Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890bp |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
269773536691814400 = 216 · 39 · 52 · 73 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-837405,-293682299] |
[a1,a2,a3,a4,a6] |
Generators |
[-547:971:1] |
Generators of the group modulo torsion |
j |
259722159048518167/1078891315200 |
j-invariant |
L |
4.7481595472537 |
L(r)(E,1)/r! |
Ω |
0.15786075399785 |
Real period |
R |
3.7597688611387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999934791 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42630cs1 127890cp1 |
Quadratic twists by: -3 -7 |