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	210d	Isogeny class
Conductor	210	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-9003750 = -1 · 2 · 3 · 54 · 74	Discriminant
Eigenvalues	2+ 3+ 5+ 7+ -4 -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,7,147]	[a1,a2,a3,a4,a6]
Generators	[1:12:1]	Generators of the group modulo torsion
j	30080231/9003750	j-invariant
L	0.95466300671016	L(r)(E,1)/r!
Ω	1.7923010131731	Real period
R	0.53264658095574	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1680r4 6720y4 630j4 1050p4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 210d4

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

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Quadratic twists for elliptic curve 210d4

-4	8	-3	5	-7	-11	13	17	-19	-23
1680r4	6720y4	630j4	1050p4	1470h4	25410bt3	35490ct3	60690bf3	75810cy3	111090o3

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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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