Atkin-Lehner |
3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4437f |
Isogeny class |
Conductor |
4437 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-179787060078944517 = -1 · 36 · 17 · 299 |
Discriminant |
Eigenvalues |
1 3- 2 -5 0 7 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69666,-21575755] |
[a1,a2,a3,a4,a6] |
Generators |
[34348:6348355:1] |
Generators of the group modulo torsion |
j |
-51293497953529377/246621481589773 |
j-invariant |
L |
4.4696977549435 |
L(r)(E,1)/r! |
Ω |
0.13290377917966 |
Real period |
R |
1.8683933856059 |
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 |
70992ba1 493a1 110925bm1 75429f1 |
Quadratic twists by: -4 -3 5 17 |