Atkin-Lehner |
2+ 3- 5- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119970t |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
73202454810000 = 24 · 311 · 54 · 312 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11259,207765] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:837:1] |
Generators of the group modulo torsion |
j |
216529632297649/100414890000 |
j-invariant |
L |
4.9534866661928 |
L(r)(E,1)/r! |
Ω |
0.549288058687 |
Real period |
R |
0.56362579346607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999585955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39990y1 |
Quadratic twists by: -3 |