Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810cl |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
196560 |
Modular degree for the optimal curve |
Δ |
-25581315410560 = -1 · 27 · 5 · 72 · 138 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -3 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6728,-120389] |
[a1,a2,a3,a4,a6] |
j |
842751/640 |
j-invariant |
L |
2.620707708471 |
L(r)(E,1)/r! |
Ω |
0.37438681591831 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82810bq1 82810d1 |
Quadratic twists by: -7 13 |