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	528j	Isogeny class
Conductor	528	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	17842176 = 214 · 32 · 112	Discriminant
Eigenvalues	2- 3-  2  4 11- -6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-352,2420]	[a1,a2,a3,a4,a6]
j	1180932193/4356	j-invariant
L	2.1940597109795	L(r)(E,1)/r!
Ω	2.1940597109795	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	66b2 2112u2 1584n2 13200bu2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 528j2

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

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Quadratic twists for elliptic curve 528j2

-4	8	-3	5	-7	-11	13
66b2	2112u2	1584n2	13200bu2	25872by2	5808bf2	89232cd2

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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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