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	438d	Isogeny class
Conductor	438	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	8260256268288 = 218 · 34 · 733	Discriminant
Eigenvalues	2+ 3-  0 -4 -6 -4 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-9641,-337876]	[a1,a2,a3,a4,a6]
Generators	[-66:142:1]	Generators of the group modulo torsion
j	99088945018143625/8260256268288	j-invariant
L	1.5258264643005	L(r)(E,1)/r!
Ω	0.4843634031762	Real period
R	0.52502812774284	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3504q3 14016m3 1314f3 10950t3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 438d3

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
+	-	0	-4	-6	-4	-6	8	0	0	8	2	-6	2	0	-12	6	-10	-4	0	-	-16	6	6	14

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Quadratic twists for elliptic curve 438d3

-4	8	-3	5	-7	-11	13	17	73
3504q3	14016m3	1314f3	10950t3	21462e3	52998p3	74022s3	126582a3	31974b3

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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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