Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17661f |
Isogeny class |
Conductor |
17661 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.0955472565842E+22 |
Discriminant |
Eigenvalues |
1 3- -2 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10961612,13028593205] |
[a1,a2,a3,a4,a6] |
Generators |
[203574:32109479:8] |
Generators of the group modulo torsion |
j |
244883173420511137/18418027974129 |
j-invariant |
L |
5.743638979194 |
L(r)(E,1)/r! |
Ω |
0.12520336887035 |
Real period |
R |
7.645746051692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52983h3 123627e3 609b3 |
Quadratic twists by: -3 -7 29 |