Cremona's table of elliptic curves

4028 = 2² · 19 · 53

Field	Data	Notes
Atkin-Lehner	2- 19- 53-	Signs for the Atkin-Lehner involutions
Conductor	4028	Conductor
Count	1	Number of curves in isogeny class
Curves	4028b1	Curves in isogeny class
deg	444	Modular degree for the optimal curve
Eigenvalues	2-  1  0  4  1 -6  3 19-	Hecke eigenvalues for primes less than 20
L	2.5911496656684	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	16112d 64448a 36252h 100700f	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4028b

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
-	1	0	4	1	-6	3	-	-6	4	9	10	10	5	8	-	12	12	-1	-15	6	-4	-6	8	10

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Quadratic twists for isogeny class 4028b

-4	8	-3	5	-19
16112d	64448a	36252h	100700f	76532d

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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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