Cremona's table of elliptic curves

528 = 2⁴ · 3 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 11+	Signs for the Atkin-Lehner involutions
Conductor	528	Conductor
Count	4	Number of curves in isogeny class
Curves	528f1 528f2 528f3 528f4	Curves in isogeny class
deg	480	Modular degree for the optimal curve
Eigenvalues	2- 3+ -4  2 11+  4 -2  0	Hecke eigenvalues for primes less than 20
L	0.94027960528629	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	66c 2112bd 1584s 13200cf	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 528f

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

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Quadratic twists for isogeny class 528f

-4	8	-3	5	-7	-11	13
66c	2112bd	1584s	13200cf	25872cs	5808v	89232br

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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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