Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966cq |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-39984659736 = -1 · 23 · 3 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 3 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4460,113189] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:343:1] |
Generators of the group modulo torsion |
j |
-288568081/1176 |
j-invariant |
L |
9.7436395873692 |
L(r)(E,1)/r! |
Ω |
1.1539234517044 |
Real period |
R |
0.70366016400687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138z1 84966eb1 |
Quadratic twists by: -7 17 |