Atkin-Lehner |
3- 11- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10659m |
Isogeny class |
Conductor |
10659 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-15488239628763 = -1 · 38 · 113 · 173 · 192 |
Discriminant |
Eigenvalues |
-2 3- -2 -3 11- -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2674,195796] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:280:1] [-16:484:1] |
Generators of the group modulo torsion |
j |
-2115291988652032/15488239628763 |
j-invariant |
L |
3.3614575357708 |
L(r)(E,1)/r! |
Ω |
0.60035916299872 |
Real period |
R |
0.038882483267047 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31977j1 117249s1 |
Quadratic twists by: -3 -11 |