Atkin-Lehner |
2- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89570bb |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
229824 |
Modular degree for the optimal curve |
Δ |
-71860084349300 = -1 · 22 · 52 · 136 · 533 |
Discriminant |
Eigenvalues |
2- 1 5- -2 0 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2285,-410203] |
[a1,a2,a3,a4,a6] |
j |
-273359449/14887700 |
j-invariant |
L |
3.2399460196896 |
L(r)(E,1)/r! |
Ω |
0.26999552178109 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
530a1 |
Quadratic twists by: 13 |