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	16800bc	Isogeny class
Conductor	16800	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-3528000000000 = -1 · 212 · 32 · 59 · 72	Discriminant
Eigenvalues	2+ 3- 5- 7+ -6  6  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2833,106463]	[a1,a2,a3,a4,a6]
Generators	[17:252:1]	Generators of the group modulo torsion
j	-314432/441	j-invariant
L	5.6874174427267	L(r)(E,1)/r!
Ω	0.7119647089898	Real period
R	1.99708544922	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16800bp2 33600bv1 50400ef2 16800bq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16800bc2

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
+	-	-	+	-6	6	0	-2	8	-10	-2	8	-6	-12	8	10	-4	-2	-8	-10	6	8	0	6	10

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Quadratic twists for elliptic curve 16800bc2

-4	8	-3	5	-7
16800bp2	33600bv1	50400ef2	16800bq2	117600cd2

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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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