Atkin-Lehner |
2- 3- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
128100y |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-216168750000 = -1 · 24 · 34 · 58 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,667,21588] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:75:1] |
Generators of the group modulo torsion |
j |
5242880/34587 |
j-invariant |
L |
8.6702151794037 |
L(r)(E,1)/r! |
Ω |
0.72419636455783 |
Real period |
R |
0.33256078494037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999622434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128100i1 |
Quadratic twists by: 5 |