Atkin-Lehner |
2- 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150dr |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-3467880000 = -1 · 26 · 33 · 54 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 5 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,370,-803] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-85:1] |
Generators of the group modulo torsion |
j |
332801325/205504 |
j-invariant |
L |
10.387823664371 |
L(r)(E,1)/r! |
Ω |
0.81329567594925 |
Real period |
R |
0.53218773733027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010433 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150v1 111150d1 |
Quadratic twists by: -3 5 |