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	2898o	Isogeny class
Conductor	2898	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	414155678632416 = 25 · 314 · 76 · 23	Discriminant
Eigenvalues	2- 3-  2 7+  0  4  0  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-30119,-1750017]	[a1,a2,a3,a4,a6]
j	4144806984356137/568114785504	j-invariant
L	3.6569585489033	L(r)(E,1)/r!
Ω	0.36569585489033	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	23184bu2 92736bq2 966a2 72450bn2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2898o2

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

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Quadratic twists for elliptic curve 2898o2

-4	8	-3	5	-7	-23
23184bu2	92736bq2	966a2	72450bn2	20286cr2	66654by2

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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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