Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17661g |
Isogeny class |
Conductor |
17661 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-2535731817423 = -1 · 3 · 72 · 297 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-438,76659] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:7726:27] |
Generators of the group modulo torsion |
j |
-15625/4263 |
j-invariant |
L |
3.603557325669 |
L(r)(E,1)/r! |
Ω |
0.66151403631854 |
Real period |
R |
5.4474389473631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52983b1 123627f1 609a1 |
Quadratic twists by: -3 -7 29 |