Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
22090m |
Isogeny class |
Conductor |
22090 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
741888 |
Modular degree for the optimal curve |
Δ |
1037564150708224000 = 214 · 53 · 477 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 1 1 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-257763,-11573469] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:4482:1] |
Generators of the group modulo torsion |
j |
175710096801/96256000 |
j-invariant |
L |
3.5643541551153 |
L(r)(E,1)/r! |
Ω |
0.22639249432795 |
Real period |
R |
0.28114528059019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110450j1 470f1 |
Quadratic twists by: 5 -47 |