Cremona's table of elliptic curves

4437 = 3² · 17 · 29

Field	Data	Notes
Atkin-Lehner	3- 17+ 29-	Signs for the Atkin-Lehner involutions
Class	4437g	Isogeny class
Conductor	4437	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	-29111157 = -1 · 310 · 17 · 29	Discriminant
Eigenvalues	-1 3-  2  1  0 -1 17+ -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,76,20]	[a1,a2,a3,a4,a6]
Generators	[0:4:1]	Generators of the group modulo torsion
j	67419143/39933	j-invariant
L	2.7759115377364	L(r)(E,1)/r!
Ω	1.2777505264928	Real period
R	1.0862494204388	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	70992z1 1479e1 110925be1 75429h1	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4437g1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-1	-	2	1	0	-1	+	-1	4	-	-8	-11	9	-7	-7	-1	2	7	-12	-3	11	6	-6	-12	-14

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Quadratic twists for elliptic curve 4437g1

-4	-3	5	17	29
70992z1	1479e1	110925be1	75429h1	128673n1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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