Cremona's table of elliptic curves

438 = 2 · 3 · 73

Field	Data	Notes
Atkin-Lehner	2- 3+ 73-	Signs for the Atkin-Lehner involutions
Class	438f	Isogeny class
Conductor	438	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-1022336676 = -1 · 22 · 32 · 734	Discriminant
Eigenvalues	2- 3+ -2 -4  0 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,81,-1479]	[a1,a2,a3,a4,a6]
Generators	[11:24:1]	Generators of the group modulo torsion
j	58727785103/1022336676	j-invariant
L	2.0220564890908	L(r)(E,1)/r!
Ω	0.75977796514099	Real period
R	2.6613781681804	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3504x4 14016bc4 1314c4 10950j4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 438f4

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	-4	0	-2	-6	-4	0	6	-4	6	10	-8	4	-2	-8	-2	-4	8	-	-8	0	-6	-14

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Quadratic twists for elliptic curve 438f4

-4	8	-3	5	-7	-11	13	17	73
3504x4	14016bc4	1314c4	10950j4	21462bb3	52998b3	74022b3	126582bb3	31974k3

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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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