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
deg	88	Modular degree for the optimal curve
Δ	37553 = 17 · 472	Discriminant
Eigenvalues	-1  2  4 -2  0  2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-16,16]	[a1,a2,a3,a4,a6]
j	454756609/37553	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	12784f1 51136e1 7191f1 19975c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 799a1

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 799a1

-4	8	-3	5	-7	-11	17	-47
12784f1	51136e1	7191f1	19975c1	39151e1	96679a1	13583c1	37553c1

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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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