Atkin-Lehner |
2- 3- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
56070be |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-8345318625000 = -1 · 23 · 37 · 56 · 73 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-229892,42483791] |
[a1,a2,a3,a4,a6] |
Generators |
[-429:8089:1] |
Generators of the group modulo torsion |
j |
-1843172526426142969/11447625000 |
j-invariant |
L |
10.409448841802 |
L(r)(E,1)/r! |
Ω |
0.65573902329679 |
Real period |
R |
1.3228647973247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
18690h2 |
Quadratic twists by: -3 |