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	264d	Isogeny class
Conductor	264	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	336	Modular degree for the optimal curve
Δ	24634368 = 210 · 37 · 11	Discriminant
Eigenvalues	2+ 3-  4 -2 11+  0 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-8016,-278928]	[a1,a2,a3,a4,a6]
j	55635379958596/24057	j-invariant
L	1.765930747686	L(r)(E,1)/r!
Ω	0.504551642196	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	528c1 2112j1 792g1 6600u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 264d1

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

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Quadratic twists for elliptic curve 264d1

-4	8	-3	5	-7	-11	13	17	-19
528c1	2112j1	792g1	6600u1	12936f1	2904o1	44616w1	76296d1	95304p1

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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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