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	210c	Isogeny class
Conductor	210	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	9922500 = 22 · 34 · 54 · 72	Discriminant
Eigenvalues	2- 3+ 5- 7-  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1050,-13533]	[a1,a2,a3,a4,a6]
j	128031684631201/9922500	j-invariant
L	1.6773824350753	L(r)(E,1)/r!
Ω	0.83869121753763	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1680t4 6720u3 630d4 1050g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 210c3

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
-	+	-	-	4	-2	2	-4	-8	6	-8	-2	2	-12	-8	6	4	-2	12	8	-14	0	12	2	10

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Quadratic twists for elliptic curve 210c3

-4	8	-3	5	-7	-11	13	17	-19	-23
1680t4	6720u3	630d4	1050g3	1470p4	25410n4	35490b4	60690bu4	75810bu4	111090br4

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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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