Cremona's table of elliptic curves

16120 = 2³ · 5 · 13 · 31

Field	Data	Notes
Atkin-Lehner	2- 5+ 13+ 31-	Signs for the Atkin-Lehner involutions
Class	16120d	Isogeny class
Conductor	16120	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	-1133300480 = -1 · 28 · 5 · 134 · 31	Discriminant
Eigenvalues	2-  1 5+  4  0 13+ -3  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,239,-701]	[a1,a2,a3,a4,a6]
Generators	[141:1690:1]	Generators of the group modulo torsion
j	5872987136/4426955	j-invariant
L	6.0305131794228	L(r)(E,1)/r!
Ω	0.86398255111015	Real period
R	1.7449753966889	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	32240a1 128960t1 80600h1	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 16120d1

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	+	4	0	+	-3	5	0	-10	-	-7	9	7	-6	1	-7	0	-2	-1	3	-14	11	0	2

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Quadratic twists for elliptic curve 16120d1

-4	8	5
32240a1	128960t1	80600h1

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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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