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	2210g	Isogeny class
Conductor	2210	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	5546968902800 = 24 · 52 · 138 · 17	Discriminant
Eigenvalues	2-  0 5- -4  0 13- 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-36862,-2712451]	[a1,a2,a3,a4,a6]
Generators	[267:2401:1]	Generators of the group modulo torsion
j	5539229398623592881/5546968902800	j-invariant
L	4.1997795250361	L(r)(E,1)/r!
Ω	0.34457349032438	Real period
R	0.76177137152267	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	17680o3 70720f4 19890h3 11050a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2210g3

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

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Quadratic twists for elliptic curve 2210g3

-4	8	-3	5	-7	13	17
17680o3	70720f4	19890h3	11050a3	108290z4	28730g4	37570k4

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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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