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	4437h	Isogeny class
Conductor	4437	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	-1.5641474226868E+19	Discriminant
Eigenvalues	2 3- -1 -2  3 -1 17+  5	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,353877,172168047]	[a1,a2,a3,a4,a6]
Generators	[68578:6365525:8]	Generators of the group modulo torsion
j	6722846486548803584/21456068898310251	j-invariant
L	6.4450708746431	L(r)(E,1)/r!
Ω	0.15602794675866	Real period
R	1.0326789220351	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	70992x2 1479f2 110925bn2 75429j2	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4437h2

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	-	-1	-2	3	-1	+	5	1	-	-8	-2	3	-1	2	-4	-10	-8	-12	-12	-16	0	6	0	-2

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Quadratic twists for elliptic curve 4437h2

-4	-3	5	17	29
70992x2	1479f2	110925bn2	75429j2	128673r2

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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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