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	264c	Isogeny class
Conductor	264	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	44977152 = 210 · 3 · 114	Discriminant
Eigenvalues	2+ 3- -2  4 11+  6  6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-104,-288]	[a1,a2,a3,a4,a6]
j	122657188/43923	j-invariant
L	1.5381718852002	L(r)(E,1)/r!
Ω	1.5381718852002	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	528b4 2112g3 792e4 6600v3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 264c3

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

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Quadratic twists for elliptic curve 264c3

-4	8	-3	5	-7	-11	13	17	-19
528b4	2112g3	792e4	6600v3	12936c4	2904n4	44616u3	76296b3	95304n3

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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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