Atkin-Lehner |
2- 3- 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450ck |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1597440 |
Modular degree for the optimal curve |
Δ |
17677634906250000 = 24 · 36 · 59 · 114 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-544638,-154620108] |
[a1,a2,a3,a4,a6] |
j |
9147818531190221/9050949072 |
j-invariant |
L |
4.2180293211745 |
L(r)(E,1)/r! |
Ω |
0.17575122614738 |
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 |
87450m1 |
Quadratic twists by: 5 |