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	16800bz	Isogeny class
Conductor	16800	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	-7004233215000000000 = -1 · 29 · 35 · 510 · 78	Discriminant
Eigenvalues	2- 3- 5+ 7-  4  6 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-435408,-168793812]	[a1,a2,a3,a4,a6]
j	-1141100604753992/875529151875	j-invariant
L	3.5977527717455	L(r)(E,1)/r!
Ω	0.089943819293638	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	16800bf4 33600fd3 50400bs2 3360c4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16800bz4

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

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Quadratic twists for elliptic curve 16800bz4

-4	8	-3	5	-7
16800bf4	33600fd3	50400bs2	3360c4	117600fe2

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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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