Cremona's table of elliptic curves

799 = 17 · 47

Field	Data	Notes
Atkin-Lehner	17- 47+	Signs for the Atkin-Lehner involutions
Class	799a	Isogeny class
Conductor	799	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	13583 = 172 · 47	Discriminant
Eigenvalues	-1  2  4 -2  0  2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-251,1426]	[a1,a2,a3,a4,a6]
j	1749254553649/13583	j-invariant
L	1.7823427288227	L(r)(E,1)/r!
Ω	3.5646854576455	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	12784f2 51136e2 7191f2 19975c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 799a2

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

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Quadratic twists for elliptic curve 799a2

-4	8	-3	5	-7	-11	17	-47
12784f2	51136e2	7191f2	19975c2	39151e2	96679a2	13583c2	37553c2

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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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