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	528c	Isogeny class
Conductor	528	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-1185257981952 = -1 · 211 · 314 · 112	Discriminant
Eigenvalues	2+ 3+  4  2 11-  0 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-7976,281808]	[a1,a2,a3,a4,a6]
j	-27403349188178/578739249	j-invariant
L	1.7314419103037	L(r)(E,1)/r!
Ω	0.86572095515185	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	264d2 2112z2 1584e2 13200x2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 528c2

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 528c2

-4	8	-3	5	-7	-11	13
264d2	2112z2	1584e2	13200x2	25872bb2	5808g2	89232e2

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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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