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	16800bj	Isogeny class
Conductor	16800	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	1245197016000000000 = 212 · 33 · 59 · 78	Discriminant
Eigenvalues	2- 3+ 5+ 7- -4 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-530033,138659937]	[a1,a2,a3,a4,a6]
Generators	[-753:10500:1]	Generators of the group modulo torsion
j	257307998572864/19456203375	j-invariant
L	4.010724647844	L(r)(E,1)/r!
Ω	0.2668450544941	Real period
R	1.8787703670618	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	16800bt2 33600gs1 50400bn3 3360i3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16800bj3

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	-2	2	0	4	2	8	-10	2	-4	-4	-10	4	-2	-4	0	6	8	4	-6	-10

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Quadratic twists for elliptic curve 16800bj3

-4	8	-3	5	-7
16800bt2	33600gs1	50400bn3	3360i3	117600hd3

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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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