Cremona's table of elliptic curves

4389 = 3 · 7 · 11 · 19

Field	Data	Notes
Atkin-Lehner	3- 7- 11+ 19+	Signs for the Atkin-Lehner involutions
Conductor	4389	Conductor
Count	4	Number of curves in isogeny class
Curves	4389f1 4389f2 4389f3 4389f4	Curves in isogeny class
deg	1728	Modular degree for the optimal curve
Eigenvalues	-1 3-  2 7- 11+  2  2 19+	Hecke eigenvalues for primes less than 20
L	3.3122976209623	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	70224bo 13167j 109725a 30723i	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 4389f

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	-	2	-	+	2	2	+	-8	-10	-8	-2	-2	-12	-8	10	-12	-6	-4	12	6	-12	16	6	6

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Quadratic twists for isogeny class 4389f

-4	-3	5	-7	-11	-19
70224bo	13167j	109725a	30723i	48279o	83391h

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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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