Cremona's table of elliptic curves

799 = 17 · 47

Field	Data	Notes
Atkin-Lehner	17- 47-	Signs for the Atkin-Lehner involutions
Conductor	799	Conductor
Count	2	Number of curves in isogeny class
Curves	799b1 799b2	Curves in isogeny class
deg	168	Modular degree for the optimal curve
Eigenvalues	-1  2  0 -2  0 -6 17- -4	Hecke eigenvalues for primes less than 20
L	1.9428746695879	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	12784d 51136f 7191c 19975a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 799b

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	0	-2	0	-6	-	-4	4	-4	0	6	4	-12	-	-10	-12	14	4	-6	8	2	16	-10	-6

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Quadratic twists for isogeny class 799b

-4	8	-3	5	-7	-11	17	-47
12784d	51136f	7191c	19975a	39151c	96679c	13583d	37553b

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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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