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	16800y	Isogeny class
Conductor	16800	Conductor
∏ cp	36	Product of Tamagawa factors cp
deg	110592	Modular degree for the optimal curve
Δ	1102248000 = 26 · 39 · 53 · 7	Discriminant
Eigenvalues	2+ 3- 5- 7+ -2  2  0 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-918538,338533328]	[a1,a2,a3,a4,a6]
Generators	[533:810:1]	Generators of the group modulo torsion
j	10713357105862263488/137781	j-invariant
L	5.6601667294059	L(r)(E,1)/r!
Ω	0.78503011785108	Real period
R	0.80112520536153	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	16800bk1 33600bg2 50400dz1 16800bl1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16800y1

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 16800y1

-4	8	-3	5	-7
16800bk1	33600bg2	50400dz1	16800bl1	117600br1

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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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