Cremona's table of elliptic curves

5168 = 2⁴ · 17 · 19

Field	Data	Notes
Atkin-Lehner	2- 17+ 19+	Signs for the Atkin-Lehner involutions
Class	5168d	Isogeny class
Conductor	5168	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-1234133614592 = -1 · 215 · 172 · 194	Discriminant
Eigenvalues	2-  0  4  2 -4  6 17+ 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1363,56850]	[a1,a2,a3,a4,a6]
j	-68367756969/301302152	j-invariant
L	3.0035282070493	L(r)(E,1)/r!
Ω	0.75088205176231	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	646a2 20672z2 46512bg2 129200bv2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5168d2

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
-	0	4	2	-4	6	+	+	6	0	-6	-4	6	4	0	14	4	0	-4	-10	10	10	12	14	-10

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Quadratic twists for elliptic curve 5168d2

-4	8	-3	5	17	-19
646a2	20672z2	46512bg2	129200bv2	87856f2	98192l2

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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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