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	2898t	Isogeny class
Conductor	2898	Conductor
∏ cp	112	Product of Tamagawa factors cp
Δ	1279513646208 = 27 · 36 · 72 · 234	Discriminant
Eigenvalues	2- 3-  0 7- -4  0 -6 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-5450,-143607]	[a1,a2,a3,a4,a6]
Generators	[-39:111:1]	Generators of the group modulo torsion
j	24553362849625/1755162752	j-invariant
L	4.7570973555936	L(r)(E,1)/r!
Ω	0.55816149994346	Real period
R	0.30438561983504	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	23184bh2 92736cj2 322b2 72450ba2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2898t2

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	-	-4	0	-6	-6	-	-10	4	-2	10	-4	-12	6	2	0	0	8	-6	-8	14	14	-2

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Quadratic twists for elliptic curve 2898t2

-4	8	-3	5	-7	-23
23184bh2	92736cj2	322b2	72450ba2	20286co2	66654bj2

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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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