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	31078728 = 23 · 36 · 732	Discriminant
Eigenvalues	2+ 3-  0 -4 -6 -4 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-31106,2108972]	[a1,a2,a3,a4,a6]
Generators	[192:1699:1]	Generators of the group modulo torsion
j	3328404840479049625/31078728	j-invariant
L	1.5258264643005	L(r)(E,1)/r!
Ω	1.4530902095286	Real period
R	3.150168766457	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	3504q2 14016m2 1314f2 10950t2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 438d2

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 438d2

-4	8	-3	5	-7	-11	13	17	73
3504q2	14016m2	1314f2	10950t2	21462e2	52998p2	74022s2	126582a2	31974b2

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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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