Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770bs |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-5099314176000 = -1 · 213 · 39 · 53 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 0 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,823,-108471] |
[a1,a2,a3,a4,a6] |
Generators |
[167:-2244:1] |
Generators of the group modulo torsion |
j |
84662348471/6994944000 |
j-invariant |
L |
9.1185705356834 |
L(r)(E,1)/r! |
Ω |
0.36465320678076 |
Real period |
R |
0.16029579376189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590b1 113850y1 |
Quadratic twists by: -3 5 |