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	48	Product of Tamagawa factors cp
Δ	66177562500 = 22 · 32 · 56 · 76	Discriminant
Eigenvalues	2- 3- 5+ 7-  0  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-2701,-52819]	[a1,a2,a3,a4,a6]
j	2179252305146449/66177562500	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	4	Number of elements in the torsion subgroup
Twists	1680k6 6720l6 630f6 1050a6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 210a6

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 210a6

-4	8	-3	5	-7	-11	13	17	-19	-23
1680k6	6720l6	630f6	1050a6	1470m6	25410v6	35490bm6	60690bl6	75810l6	111090dd6

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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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