Atkin-Lehner |
3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4437a |
Isogeny class |
Conductor |
4437 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
448 |
Modular degree for the optimal curve |
Δ |
-386019 = -1 · 33 · 17 · 292 |
Discriminant |
Eigenvalues |
0 3+ -1 4 -1 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,12,25] |
[a1,a2,a3,a4,a6] |
Generators |
[5:14:1] |
Generators of the group modulo torsion |
j |
7077888/14297 |
j-invariant |
L |
3.1795408140833 |
L(r)(E,1)/r! |
Ω |
2.0777808919819 |
Real period |
R |
0.38256449781989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70992j1 4437b1 110925f1 75429b1 |
Quadratic twists by: -4 -3 5 17 |