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	2898p	Isogeny class
Conductor	2898	Conductor
∏ cp	720	Product of Tamagawa factors cp
Δ	-1.715649204455E+20	Discriminant
Eigenvalues	2- 3-  0 7- -6  2  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-377375,636571271]	[a1,a2,a3,a4,a6]
j	-8152944444844179625/235342826399858688	j-invariant
L	3.0234934137499	L(r)(E,1)/r!
Ω	0.15117467068749	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	23184bn3 92736bv3 966f3 72450bk3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2898p3

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

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Quadratic twists for elliptic curve 2898p3

-4	8	-3	5	-7	-23
23184bn3	92736bv3	966f3	72450bk3	20286by3	66654bl3

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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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