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	64	Product of Tamagawa factors cp
Δ	19199960914176 = 28 · 310 · 74 · 232	Discriminant
Eigenvalues	2+ 3-  2 7-  4 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-10386,-346028]	[a1,a2,a3,a4,a6]
j	169967019783457/26337394944	j-invariant
L	1.9113949572567	L(r)(E,1)/r!
Ω	0.47784873931418	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	23184bi2 92736co2 966g2 72450dn2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2898i2

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 2898i2

-4	8	-3	5	-7	-23
23184bi2	92736co2	966g2	72450dn2	20286be2	66654j2

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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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