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
deg	640	Modular degree for the optimal curve
Δ	-926330847232 = -1 · 216 · 75 · 292	Discriminant
Eigenvalues	2+  2  2 7-  4 -2 -4  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-2124,-60592]	[a1,a2,a3,a4,a6]
j	-1060490285861833/926330847232	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	3248i1 12992v1 3654w1 10150h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 406d1

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 406d1

-4	8	-3	5	-7	-11	13	17	29
3248i1	12992v1	3654w1	10150h1	2842b1	49126e1	68614n1	117334d1	11774l1

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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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