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	16	Product of Tamagawa factors cp
Δ	44100 = 22 · 32 · 52 · 72	Discriminant
Eigenvalues	2+ 3+ 5+ 7+ -4 -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-23,33]	[a1,a2,a3,a4,a6]
Generators	[-1:8:1]	Generators of the group modulo torsion
j	1439069689/44100	j-invariant
L	0.95466300671016	L(r)(E,1)/r!
Ω	3.5846020263462	Real period
R	0.26632329047787	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1680r2 6720y2 630j2 1050p2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 210d2

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 210d2

-4	8	-3	5	-7	-11	13	17	-19	-23
1680r2	6720y2	630j2	1050p2	1470h2	25410bt2	35490ct2	60690bf2	75810cy2	111090o2

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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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