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	528j1 528j2 528j3 528j4	Curves in isogeny class
deg	96	Modular degree for the optimal curve
Eigenvalues	2- 3-  2  4 11- -6  2 -4	Hecke eigenvalues for primes less than 20
L	2.1940597109795	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	66b 2112u 1584n 13200bu	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 528j

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 isogeny class 528j

-4	8	-3	5	-7	-11	13
66b	2112u	1584n	13200bu	25872by	5808bf	89232cd

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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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