Cremona's table of elliptic curves

264 = 2³ · 3 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 11-	Signs for the Atkin-Lehner involutions
Class	264b	Isogeny class
Conductor	264	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	1824768 = 211 · 34 · 11	Discriminant
Eigenvalues	2+ 3+  2  0 11-  2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-472,4108]	[a1,a2,a3,a4,a6]
j	5690357426/891	j-invariant
L	1.2769941916295	L(r)(E,1)/r!
Ω	2.553988383259	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	528d3 2112m3 792d3 6600bb3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 264b3

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	-	2	6	0	4	2	0	-10	6	-8	-4	-6	-12	2	4	12	-14	16	-12	10	-14

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Quadratic twists for elliptic curve 264b3

-4	8	-3	5	-7	-11	13	17	-19
528d3	2112m3	792d3	6600bb3	12936j3	2904k3	44616m4	76296e4	95304v4

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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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