Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20700m |
Isogeny class |
Conductor |
20700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-140566144500000000 = -1 · 28 · 312 · 59 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,103425,12707750] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:2898:1] |
Generators of the group modulo torsion |
j |
41957807024/48205125 |
j-invariant |
L |
6.2033311838251 |
L(r)(E,1)/r! |
Ω |
0.21796711366986 |
Real period |
R |
2.3716617457335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800es2 6900e2 4140e2 |
Quadratic twists by: -4 -3 5 |