Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17661g |
Isogeny class |
Conductor |
17661 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
31515524016543 = 32 · 7 · 298 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29873,1966386] |
[a1,a2,a3,a4,a6] |
Generators |
[447:8607:1] |
Generators of the group modulo torsion |
j |
4956477625/52983 |
j-invariant |
L |
3.603557325669 |
L(r)(E,1)/r! |
Ω |
0.66151403631854 |
Real period |
R |
2.7237194736816 |
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 |
52983b2 123627f2 609a2 |
Quadratic twists by: -3 -7 29 |