Atkin-Lehner |
2- 3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
105792bx |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
1042307226796032 = 228 · 35 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25953,412191] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:1392:1] |
Generators of the group modulo torsion |
j |
7375020369625/3976086528 |
j-invariant |
L |
9.1655962085031 |
L(r)(E,1)/r! |
Ω |
0.42981421220608 |
Real period |
R |
2.1324553521016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039519 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105792h1 26448j1 |
Quadratic twists by: -4 8 |