Atkin-Lehner |
2- 3- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18810ba |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
2333265876562500 = 22 · 310 · 58 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-380327,90343451] |
[a1,a2,a3,a4,a6] |
j |
8345773355774021929/3200639062500 |
j-invariant |
L |
3.6163269141814 |
L(r)(E,1)/r! |
Ω |
0.45204086427267 |
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 |
6270i1 94050m1 |
Quadratic twists by: -3 5 |