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	16800bw	Isogeny class
Conductor	16800	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	4032000000 = 212 · 32 · 56 · 7	Discriminant
Eigenvalues	2- 3- 5+ 7- -2  2 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-833,8463]	[a1,a2,a3,a4,a6]
j	1000000/63	j-invariant
L	2.732684363073	L(r)(E,1)/r!
Ω	1.3663421815365	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	16800b2 33600r1 50400bi2 672a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16800bw2

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
-	-	+	-	-2	2	-4	-4	6	-2	0	6	8	8	4	6	0	-14	-4	-2	2	4	-12	0	-6

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Quadratic twists for elliptic curve 16800bw2

-4	8	-3	5	-7
16800b2	33600r1	50400bi2	672a2	117600ev2

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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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