Atkin-Lehner |
2+ 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80600l |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
135360 |
Modular degree for the optimal curve |
Δ |
-425668750000 = -1 · 24 · 58 · 133 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 3 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2083,48912] |
[a1,a2,a3,a4,a6] |
j |
-160000000/68107 |
j-invariant |
L |
5.2995207431165 |
L(r)(E,1)/r! |
Ω |
0.88325346856215 |
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 |
80600bb1 |
Quadratic twists by: 5 |