Cremona's table of elliptic curves

2898 = 2 · 3² · 7 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 23-	Signs for the Atkin-Lehner involutions
Class	2898i	Isogeny class
Conductor	2898	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	13918812244848 = 24 · 38 · 78 · 23	Discriminant
Eigenvalues	2+ 3-  2 7-  4 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-159426,-24460700]	[a1,a2,a3,a4,a6]
j	614716917569296417/19093020912	j-invariant
L	1.9113949572567	L(r)(E,1)/r!
Ω	0.23892436965709	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	23184bi4 92736co4 966g4 72450dn4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2898i3

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

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Quadratic twists for elliptic curve 2898i3

-4	8	-3	5	-7	-23
23184bi4	92736co4	966g4	72450dn4	20286be4	66654j4

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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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