Atkin-Lehner |
2- 3+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127920bk |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-490426859520 = -1 · 219 · 33 · 5 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 -2 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1080,36720] |
[a1,a2,a3,a4,a6] |
Generators |
[82:702:1] |
Generators of the group modulo torsion |
j |
-34043726521/119733120 |
j-invariant |
L |
8.5607562301821 |
L(r)(E,1)/r! |
Ω |
0.81597183662642 |
Real period |
R |
2.6228712422188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999663471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15990k1 |
Quadratic twists by: -4 |