Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400bo |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-363671875000000 = -1 · 26 · 514 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35825,2766500] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:1750:1] |
Generators of the group modulo torsion |
j |
-5084898745536/363671875 |
j-invariant |
L |
5.9287835169824 |
L(r)(E,1)/r! |
Ω |
0.52783753711735 |
Real period |
R |
2.8080531760405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106400j1 21280c1 |
Quadratic twists by: -4 5 |