Atkin-Lehner |
7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17689f |
Isogeny class |
Conductor |
17689 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-336091 = -1 · 72 · 193 |
Discriminant |
Eigenvalues |
-2 -2 -2 7- 5 -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-44,102] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:2:1] [6:9:1] |
Generators of the group modulo torsion |
j |
-28672 |
j-invariant |
L |
2.6522038012126 |
L(r)(E,1)/r! |
Ω |
3.023595567584 |
Real period |
R |
0.43858441744782 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17689b1 17689e1 |
Quadratic twists by: -7 -19 |