Atkin-Lehner |
2- 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
12450z |
Isogeny class |
Conductor |
12450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
38750625000 = 23 · 32 · 57 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5463,-155583] |
[a1,a2,a3,a4,a6] |
j |
1153990560169/2480040 |
j-invariant |
L |
6.664670201541 |
L(r)(E,1)/r! |
Ω |
0.55538918346175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99600br2 37350m2 2490a2 |
Quadratic twists by: -4 -3 5 |