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	2	Product of Tamagawa factors cp
deg	16	Modular degree for the optimal curve
Δ	1680 = 24 · 3 · 5 · 7	Discriminant
Eigenvalues	2+ 3+ 5+ 7+ -4 -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-3,-3]	[a1,a2,a3,a4,a6]
Generators	[-1:1:1]	Generators of the group modulo torsion
j	4826809/1680	j-invariant
L	0.95466300671016	L(r)(E,1)/r!
Ω	3.5846020263462	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	1680r1 6720y1 630j1 1050p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 210d1

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 210d1

-4	8	-3	5	-7	-11	13	17	-19	-23
1680r1	6720y1	630j1	1050p1	1470h1	25410bt1	35490ct1	60690bf1	75810cy1	111090o1

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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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