Cremona's table of elliptic curves

2210 = 2 · 5 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 5+ 13+ 17-	Signs for the Atkin-Lehner involutions
Class	2210d	Isogeny class
Conductor	2210	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-90336313600 = -1 · 28 · 52 · 132 · 174	Discriminant
Eigenvalues	2- -2 5+  0  2 13+ 17- -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,974,8580]	[a1,a2,a3,a4,a6]
Generators	[-4:70:1]	Generators of the group modulo torsion
j	102181603702751/90336313600	j-invariant
L	3.1550181405644	L(r)(E,1)/r!
Ω	0.69877956758875	Real period
R	0.14109501975401	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	17680h2 70720r2 19890n2 11050f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2210d2

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

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Quadratic twists for elliptic curve 2210d2

-4	8	-3	5	-7	13	17
17680h2	70720r2	19890n2	11050f2	108290bo2	28730p2	37570o2

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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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