Cremona's table of elliptic curves

267 = 3 · 89

Field	Data	Notes
Atkin-Lehner	3- 89+	Signs for the Atkin-Lehner involutions
Class	267a	Isogeny class
Conductor	267	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-2114907 = -1 · 3 · 893	Discriminant
Eigenvalues	0 3-  0  2  6  2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,27,-37]	[a1,a2,a3,a4,a6]
j	2097152000/2114907	j-invariant
L	1.4182965360516	L(r)(E,1)/r!
Ω	1.4182965360516	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4272c2 17088a2 801c2 6675a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 267a2

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	-	0	2	6	2	0	-4	3	-3	-4	-4	3	-4	6	0	9	8	-13	-6	-7	-1	-9	+	-1

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Quadratic twists for elliptic curve 267a2

-4	8	-3	5	-7	-11	13	17	-19	89
4272c2	17088a2	801c2	6675a2	13083c2	32307i2	45123j2	77163a2	96387b2	23763a2

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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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