Atkin-Lehner |
3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128673p |
Isogeny class |
Conductor |
128673 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7371645417153 = 36 · 17 · 296 |
Discriminant |
Eigenvalues |
-1 3- 2 4 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-686414,219062116] |
[a1,a2,a3,a4,a6] |
Generators |
[131541215:-62119604:274625] |
Generators of the group modulo torsion |
j |
82483294977/17 |
j-invariant |
L |
6.1437507373867 |
L(r)(E,1)/r! |
Ω |
0.5887482651797 |
Real period |
R |
10.43527604202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000115526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14297a3 153c3 |
Quadratic twists by: -3 29 |