Cremona's table of elliptic curves

528 = 2⁴ · 3 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 11+	Signs for the Atkin-Lehner involutions
Class	528d	Isogeny class
Conductor	528	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-89954304 = -1 · 211 · 3 · 114	Discriminant
Eigenvalues	2+ 3-  2  0 11+  2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,88,-300]	[a1,a2,a3,a4,a6]
j	36382894/43923	j-invariant
L	2.048195850677	L(r)(E,1)/r!
Ω	1.0240979253385	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	264b4 2112w4 1584g4 13200a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 528d4

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 528d4

-4	8	-3	5	-7	-11	13
264b4	2112w4	1584g4	13200a4	25872d3	5808n4	89232u3

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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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