Atkin-Lehner |
2- 3- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950ck |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-259218750000000 = -1 · 27 · 3 · 513 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,15912,57792] |
[a1,a2,a3,a4,a6] |
Generators |
[264:12368:27] |
Generators of the group modulo torsion |
j |
28515191374151/16590000000 |
j-invariant |
L |
13.708814257746 |
L(r)(E,1)/r! |
Ω |
0.33321623597499 |
Real period |
R |
1.4693176875681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16590c1 |
Quadratic twists by: 5 |