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	2	Product of Tamagawa factors cp
Δ	33792 = 210 · 3 · 11	Discriminant
Eigenvalues	2+ 3- -2  4 11+  6  6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-704,6960]	[a1,a2,a3,a4,a6]
j	37736227588/33	j-invariant
L	1.5381718852002	L(r)(E,1)/r!
Ω	3.0763437704003	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	528b3 2112g4 792e3 6600v4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 264c4

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 264c4

-4	8	-3	5	-7	-11	13	17	-19
528b3	2112g4	792e3	6600v4	12936c3	2904n3	44616u4	76296b4	95304n4

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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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