Atkin-Lehner |
2- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
8300c |
Isogeny class |
Conductor |
8300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-2233542968750000 = -1 · 24 · 512 · 833 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 3 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30533,3074062] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:2075:1] |
Generators of the group modulo torsion |
j |
-12592337649664/8934171875 |
j-invariant |
L |
3.5803806140241 |
L(r)(E,1)/r! |
Ω |
0.42539555397117 |
Real period |
R |
0.46758841801607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33200s2 74700b2 1660a2 |
Quadratic twists by: -4 -3 5 |