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	2898u	Isogeny class
Conductor	2898	Conductor
∏ cp	260	Product of Tamagawa factors cp
deg	12480	Modular degree for the optimal curve
Δ	-62330307895296 = -1 · 213 · 39 · 75 · 23	Discriminant
Eigenvalues	2- 3- -3 7- -4  3  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-46184,3850539]	[a1,a2,a3,a4,a6]
Generators	[509:-10839:1]	Generators of the group modulo torsion
j	-14943832855786297/85501108224	j-invariant
L	4.2032212462624	L(r)(E,1)/r!
Ω	0.62568374301384	Real period
R	0.025837710733344	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	23184bl1 92736cp1 966b1 72450bb1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2898u1

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
-	-	-3	-	-4	3	0	0	-	-1	-2	-5	-5	-7	3	-12	2	-6	-12	-10	0	4	-4	-10	19

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Quadratic twists for elliptic curve 2898u1

-4	8	-3	5	-7	-23
23184bl1	92736cp1	966b1	72450bb1	20286ct1	66654bs1

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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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