Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17856bc |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1556364541722624 = -1 · 215 · 313 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 -1 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72588,-7763024] |
[a1,a2,a3,a4,a6] |
Generators |
[461:7533:1] |
Generators of the group modulo torsion |
j |
-1770682685192/65152917 |
j-invariant |
L |
3.8842531064106 |
L(r)(E,1)/r! |
Ω |
0.14511627802829 |
Real period |
R |
1.1152703310253 |
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 |
17856n1 8928d1 5952s1 |
Quadratic twists by: -4 8 -3 |