Atkin-Lehner |
2- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
17696d |
Isogeny class |
Conductor |
17696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-283136 = -1 · 29 · 7 · 79 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ -1 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16,4] |
[a1,a2,a3,a4,a6] |
Generators |
[0:2:1] |
Generators of the group modulo torsion |
j |
830584/553 |
j-invariant |
L |
2.842339879692 |
L(r)(E,1)/r! |
Ω |
1.9364269628867 |
Real period |
R |
0.73391352583081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17696b1 35392c1 123872k1 |
Quadratic twists by: -4 8 -7 |