Cremona's table of elliptic curves

16359 = 3 · 7 · 19 · 41

Field	Data	Notes
Atkin-Lehner	3- 7- 19+ 41+	Signs for the Atkin-Lehner involutions
Class	16359d	Isogeny class
Conductor	16359	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	5184	Modular degree for the optimal curve
Δ	1694906913 = 3 · 72 · 193 · 412	Discriminant
Eigenvalues	-1 3-  0 7- -2  2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-333,-1272]	[a1,a2,a3,a4,a6]
Generators	[59:401:1]	Generators of the group modulo torsion
j	4084490796625/1694906913	j-invariant
L	3.7738635419966	L(r)(E,1)/r!
Ω	1.1593462176472	Real period
R	3.2551652686248	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	49077c1 114513g1	Quadratic twists by: -3 -7

Hecke Eigenvalues for elliptic curve 16359d1

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
-1	-	0	-	-2	2	-2	+	0	-2	10	-2	+	-4	0	-2	-4	14	-2	0	10	2	2	-10	-14

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Quadratic twists for elliptic curve 16359d1

-3	-7
49077c1	114513g1

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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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