Atkin-Lehner |
2- 3- 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20706z |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-11020292758944 = -1 · 25 · 35 · 73 · 173 · 292 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 1 -3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3791,182937] |
[a1,a2,a3,a4,a6] |
Generators |
[136:-1547:1] |
Generators of the group modulo torsion |
j |
-6025487992676209/11020292758944 |
j-invariant |
L |
8.6388109333742 |
L(r)(E,1)/r! |
Ω |
0.64201954124263 |
Real period |
R |
0.089704548209999 |
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 |
62118h1 |
Quadratic twists by: -3 |