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	48	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	-4259086272 = -1 · 26 · 310 · 72 · 23	Discriminant
Eigenvalues	2- 3-  0 7+  2 -6 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-5,-3139]	[a1,a2,a3,a4,a6]
Generators	[27:112:1]	Generators of the group modulo torsion
j	-15625/5842368	j-invariant
L	4.655984856621	L(r)(E,1)/r!
Ω	0.63324445312407	Real period
R	0.6127155731686	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	23184bw1 92736z1 966e1 72450bs1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2898n1

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 2898n1

-4	8	-3	5	-7	-23
23184bw1	92736z1	966e1	72450bs1	20286bx1	66654bv1

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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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