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	2898n	Isogeny class
Conductor	2898	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	66666530952 = 23 · 38 · 74 · 232	Discriminant
Eigenvalues	2- 3-  0 7+  2 -6 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-3245,-69235]	[a1,a2,a3,a4,a6]
Generators	[-35:40:1]	Generators of the group modulo torsion
j	5182207647625/91449288	j-invariant
L	4.655984856621	L(r)(E,1)/r!
Ω	0.63324445312407	Real period
R	1.2254311463372	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	23184bw2 92736z2 966e2 72450bs2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2898n2

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	+	2	-6	-2	-6	+	6	0	0	-6	-6	-8	4	0	-8	-2	0	-2	8	2	2	14

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Quadratic twists for elliptic curve 2898n2

-4	8	-3	5	-7	-23
23184bw2	92736z2	966e2	72450bs2	20286bx2	66654bv2

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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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