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	4	Product of Tamagawa factors cp
Δ	3150 = 2 · 32 · 52 · 7	Discriminant
Eigenvalues	2- 3+ 5- 7-  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-16800,-845133]	[a1,a2,a3,a4,a6]
j	524388516989299201/3150	j-invariant
L	1.6773824350753	L(r)(E,1)/r!
Ω	0.41934560876882	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1680t5 6720u5 630d5 1050g5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 210c5

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 210c5

-4	8	-3	5	-7	-11	13	17	-19	-23
1680t5	6720u5	630d5	1050g5	1470p5	25410n6	35490b6	60690bu6	75810bu6	111090br6

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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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