Cremona's table of elliptic curves

3026 = 2 · 17 · 89

Field	Data	Notes
Atkin-Lehner	2- 17- 89+	Signs for the Atkin-Lehner involutions
Class	3026d	Isogeny class
Conductor	3026	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-189858021266 = -1 · 2 · 17 · 895	Discriminant
Eigenvalues	2- -1  1 -2  2 -1 17-  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-59665,-5634447]	[a1,a2,a3,a4,a6]
Generators	[8832976515821490:-556445434776855097:2253243231000]	Generators of the group modulo torsion
j	-23490004606070178961/189858021266	j-invariant
L	4.1653332622098	L(r)(E,1)/r!
Ω	0.15273529190219	Real period
R	27.271583471861	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	24208g2 96832e2 27234c2 75650a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3026d2

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	1	-2	2	-1	-	0	-6	0	2	-2	-3	4	-12	4	0	-8	-7	-8	-6	-5	4	+	-12

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Quadratic twists for elliptic curve 3026d2

-4	8	-3	5	17
24208g2	96832e2	27234c2	75650a2	51442e2

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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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