Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810bq |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
1375920 |
Modular degree for the optimal curve |
Δ |
-3009616176736973440 = -1 · 27 · 5 · 78 · 138 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -3 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,329687,40633961] |
[a1,a2,a3,a4,a6] |
j |
842751/640 |
j-invariant |
L |
3.4056503100449 |
L(r)(E,1)/r! |
Ω |
0.16217382307964 |
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 |
82810cl1 82810w1 |
Quadratic twists by: -7 13 |