Cremona's table of elliptic curves

1598 = 2 · 17 · 47

Field	Data	Notes
Atkin-Lehner	2- 17+ 47+	Signs for the Atkin-Lehner involutions
Conductor	1598	Conductor
Count	2	Number of curves in isogeny class
Curves	1598a1 1598a2	Curves in isogeny class
deg	960	Modular degree for the optimal curve
Eigenvalues	2-  2  0  4 -2  6 17+  0	Hecke eigenvalues for primes less than 20
L	4.498488200466	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	12784c 51136a 14382h 39950h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1598a

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	0	4	-2	6	+	0	0	-8	-4	-8	6	4	+	10	8	-8	12	-16	10	8	-16	-6	6

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Quadratic twists for isogeny class 1598a

-4	8	-3	5	-7	17	-47
12784c	51136a	14382h	39950h	78302h	27166d	75106a

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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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