Cremona's table of elliptic curves

2254 = 2 · 7² · 23

Field	Data	Notes
Atkin-Lehner	2+ 7- 23+	Signs for the Atkin-Lehner involutions
Class	2254a	Isogeny class
Conductor	2254	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	206493142610048 = 27 · 78 · 234	Discriminant
Eigenvalues	2+ -2  0 7-  4  0 -6  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-29671,-1844118]	[a1,a2,a3,a4,a6]
j	24553362849625/1755162752	j-invariant
L	0.73080494957171	L(r)(E,1)/r!
Ω	0.36540247478585	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18032ba2 72128f2 20286co2 56350bp2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2254a2

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
+	-2	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 2254a2

-4	8	-3	5	-7	-23
18032ba2	72128f2	20286co2	56350bp2	322b2	51842i2

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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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