Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14450s |
Isogeny class |
Conductor |
14450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-6411541765625000 = -1 · 23 · 59 · 177 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 0 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18213,3965417] |
[a1,a2,a3,a4,a6] |
j |
-1771561/17000 |
j-invariant |
L |
4.3331071649942 |
L(r)(E,1)/r! |
Ω |
0.36109226374952 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115600bp1 2890b1 850k1 |
Quadratic twists by: -4 5 17 |