Atkin-Lehner |
3- 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
14469j |
Isogeny class |
Conductor |
14469 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-708981 = -1 · 3 · 73 · 13 · 53 |
Discriminant |
Eigenvalues |
1 3- 1 7- 0 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3,-41] |
[a1,a2,a3,a4,a6] |
j |
-1771561/708981 |
j-invariant |
L |
3.8453224232976 |
L(r)(E,1)/r! |
Ω |
1.2817741410992 |
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 |
43407l1 101283k1 |
Quadratic twists by: -3 -7 |