Atkin-Lehner |
2- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44770l |
Isogeny class |
Conductor |
44770 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
2786784 |
Modular degree for the optimal curve |
Δ |
-5.583620132288E+19 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,320022,-352776663] |
[a1,a2,a3,a4,a6] |
Generators |
[817:20887:1] |
Generators of the group modulo torsion |
j |
1537199813421/23680000000 |
j-invariant |
L |
3.7325580220093 |
L(r)(E,1)/r! |
Ω |
0.097052349482543 |
Real period |
R |
1.479200912594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44770b1 |
Quadratic twists by: -11 |