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	2898g	Isogeny class
Conductor	2898	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2880	Modular degree for the optimal curve
Δ	-73925568864 = -1 · 25 · 315 · 7 · 23	Discriminant
Eigenvalues	2+ 3- -1 7-  0 -1 -4  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-5535,160429]	[a1,a2,a3,a4,a6]
Generators	[5:362:1]	Generators of the group modulo torsion
j	-25727239787761/101406816	j-invariant
L	2.4090927340778	L(r)(E,1)/r!
Ω	1.096209239482	Real period
R	0.54941443825456	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	23184bo1 92736bx1 966h1 72450dr1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2898g1

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

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Quadratic twists for elliptic curve 2898g1

-4	8	-3	5	-7	-23
23184bo1	92736bx1	966h1	72450dr1	20286u1	66654f1

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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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