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	8	Product of Tamagawa factors cp
Δ	1115136 = 210 · 32 · 112	Discriminant
Eigenvalues	2+ 3+  2  0 11-  2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-32,60]	[a1,a2,a3,a4,a6]
j	3650692/1089	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	4	Number of elements in the torsion subgroup
Twists	528d2 2112m2 792d2 6600bb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 264b2

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 264b2

-4	8	-3	5	-7	-11	13	17	-19
528d2	2112m2	792d2	6600bb2	12936j2	2904k2	44616m2	76296e2	95304v2

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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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