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	264a	Isogeny class
Conductor	264	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-2230272 = -1 · 211 · 32 · 112	Discriminant
Eigenvalues	2- 3-  0  2 11-  0 -2  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,32,32]	[a1,a2,a3,a4,a6]
j	1714750/1089	j-invariant
L	1.6153370356428	L(r)(E,1)/r!
Ω	1.6153370356428	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	528a2 2112a2 792b2 6600e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 264a2

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

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Quadratic twists for elliptic curve 264a2

-4	8	-3	5	-7	-11	13	17	-19
528a2	2112a2	792b2	6600e2	12936p2	2904g2	44616g2	76296j2	95304e2

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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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