Cremona's table of elliptic curves

406 = 2 · 7 · 29

Field	Data	Notes
Atkin-Lehner	2+ 7- 29+	Signs for the Atkin-Lehner involutions
Class	406d	Isogeny class
Conductor	406	Conductor
∏ cp	20	Product of Tamagawa factors cp
Δ	2097096248576 = 28 · 710 · 29	Discriminant
Eigenvalues	2+  2  2 7-  4 -2 -4  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-39244,-3007920]	[a1,a2,a3,a4,a6]
j	6684374974140996553/2097096248576	j-invariant
L	1.6960278446405	L(r)(E,1)/r!
Ω	0.33920556892811	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3248i2 12992v2 3654w2 10150h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 406d2

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	2	-	4	-2	-4	2	0	+	-2	2	8	-8	6	6	-4	4	-4	8	-12	-12	0	4	4

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Quadratic twists for elliptic curve 406d2

-4	8	-3	5	-7	-11	13	17	29
3248i2	12992v2	3654w2	10150h2	2842b2	49126e2	68614n2	117334d2	11774l2

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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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