Atkin-Lehner |
3- 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
50589p |
Isogeny class |
Conductor |
50589 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-8519137011 = -1 · 39 · 72 · 112 · 73 |
Discriminant |
Eigenvalues |
0 3- 1 7- 11- 6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-18822,993919] |
[a1,a2,a3,a4,a6] |
Generators |
[73:94:1] |
Generators of the group modulo torsion |
j |
-1011564293423104/11686059 |
j-invariant |
L |
5.8468170408683 |
L(r)(E,1)/r! |
Ω |
1.1856131892779 |
Real period |
R |
0.30821693648557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16863b1 |
Quadratic twists by: -3 |