Cremona's table of elliptic curves

210 = 2 · 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	210a	Isogeny class
Conductor	210	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	2058000 = 24 · 3 · 53 · 73	Discriminant
Eigenvalues	2- 3- 5+ 7-  0  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-2681,-53655]	[a1,a2,a3,a4,a6]
j	2131200347946769/2058000	j-invariant
L	1.9904248603555	L(r)(E,1)/r!
Ω	0.66347495345185	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	1680k3 6720l3 630f3 1050a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 210a3

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

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Quadratic twists for elliptic curve 210a3

-4	8	-3	5	-7	-11	13	17	-19	-23
1680k3	6720l3	630f3	1050a3	1470m3	25410v3	35490bm3	60690bl3	75810l3	111090dd3

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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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