Cremona's table of elliptic curves

16590 = 2 · 3 · 5 · 7 · 79

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7+ 79+	Signs for the Atkin-Lehner involutions
Class	16590s	Isogeny class
Conductor	16590	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	13216	Modular degree for the optimal curve
Δ	-1814531250 = -1 · 2 · 3 · 57 · 72 · 79	Discriminant
Eigenvalues	2- 3- 5+ 7+  0 -5  4  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,29,2051]	[a1,a2,a3,a4,a6]
Generators	[62:389:8]	Generators of the group modulo torsion
j	2691419471/1814531250	j-invariant
L	8.1214593282095	L(r)(E,1)/r!
Ω	1.1585601995819	Real period
R	3.50497942668	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	49770t1 82950d1 116130co1	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 16590s1

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
-	-	+	+	0	-5	4	5	-6	10	-6	-8	-9	-5	-7	1	15	5	14	-12	-14	+	-11	-6	2

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Quadratic twists for elliptic curve 16590s1

-3	5	-7
49770t1	82950d1	116130co1

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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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