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
deg	2048	Modular degree for the optimal curve
Δ	4707123200 = 216 · 52 · 132 · 17	Discriminant
Eigenvalues	2-  0 5- -4  0 13- 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1582,24381]	[a1,a2,a3,a4,a6]
Generators	[-39:179:1]	Generators of the group modulo torsion
j	437608510454961/4707123200	j-invariant
L	4.1997795250361	L(r)(E,1)/r!
Ω	1.3782939612975	Real period
R	0.76177137152267	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	17680o1 70720f1 19890h1 11050a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2210g1

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 2210g1

-4	8	-3	5	-7	13	17
17680o1	70720f1	19890h1	11050a1	108290z1	28730g1	37570k1

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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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