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	12	Product of Tamagawa factors cp
Δ	697348114739712 = 29 · 32 · 736	Discriminant
Eigenvalues	2+ 3-  0 -4 -6 -4 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-32681,1883180]	[a1,a2,a3,a4,a6]
Generators	[156:688:1]	Generators of the group modulo torsion
j	3860029467400479625/697348114739712	j-invariant
L	1.5258264643005	L(r)(E,1)/r!
Ω	0.4843634031762	Real period
R	1.0500562554857	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	3504q4 14016m4 1314f4 10950t4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 438d4

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 438d4

-4	8	-3	5	-7	-11	13	17	73
3504q4	14016m4	1314f4	10950t4	21462e4	52998p4	74022s4	126582a4	31974b4

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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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