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	16800w	Isogeny class
Conductor	16800	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	-1.51868831688E+20	Discriminant
Eigenvalues	2+ 3- 5- 7+  2 -2  0  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-22962833,-42365013537]	[a1,a2,a3,a4,a6]
Generators	[6658:316125:1]	Generators of the group modulo torsion
j	-167382537005851712/18983603961	j-invariant
L	5.9387205470537	L(r)(E,1)/r!
Ω	0.034483412353881	Real period
R	4.7838786355438	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	16800bl2 33600bi1 50400ea2 16800bk2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16800w2

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	0	6	-8	6	-10	-8	-6	4	-8	2	12	14	8	-2	-2	8	0	6	-14

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Quadratic twists for elliptic curve 16800w2

-4	8	-3	5	-7
16800bl2	33600bi1	50400ea2	16800bk2	117600bn2

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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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