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	4437i	Isogeny class
Conductor	4437	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	16640	Modular degree for the optimal curve
Δ	-16616852193699 = -1 · 319 · 17 · 292	Discriminant
Eigenvalues	2 3-  3 -2 -5 -1 17+ -7	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-2451,201609]	[a1,a2,a3,a4,a6]
Generators	[706:6557:8]	Generators of the group modulo torsion
j	-2233706549248/22794035931	j-invariant
L	7.3910804656436	L(r)(E,1)/r!
Ω	0.59232798589197	Real period
R	1.5597525023475	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	70992bc1 1479g1 110925bo1 75429m1	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4437i1

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
2	-	3	-2	-5	-1	+	-7	-3	-	8	6	3	-13	-6	-4	-2	0	4	12	-16	-8	6	8	-2

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Quadratic twists for elliptic curve 4437i1

-4	-3	5	17	29
70992bc1	1479g1	110925bo1	75429m1	128673s1

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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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