Cremona's table of elliptic curves

16800 = 2⁵ · 3 · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7+	Signs for the Atkin-Lehner involutions
Class	16800r	Isogeny class
Conductor	16800	Conductor
∏ cp	112	Product of Tamagawa factors cp
Δ	6.4055018873891E+24	Discriminant
Eigenvalues	2+ 3- 5+ 7+ -4  6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-160015633,769469340863]	[a1,a2,a3,a4,a6]
j	7079962908642659949376/100085966990454375	j-invariant
L	2.1121396455633	L(r)(E,1)/r!
Ω	0.075433558770116	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	16800i3 33600eo1 50400df3 3360q2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16800r2

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
+	-	+	+	-4	6	-6	-4	4	-2	8	-6	6	-8	0	-6	-4	10	-8	12	14	-16	12	14	-18

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Quadratic twists for elliptic curve 16800r2

-4	8	-3	5	-7
16800i3	33600eo1	50400df3	3360q2	117600bc3

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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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