Cremona's table of elliptic curves

16016 = 2⁴ · 7 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 7- 11+ 13+	Signs for the Atkin-Lehner involutions
Class	16016j	Isogeny class
Conductor	16016	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	257274943557632 = 212 · 7 · 11 · 138	Discriminant
Eigenvalues	2-  0 -2 7- 11+ 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-16091,-147254]	[a1,a2,a3,a4,a6]
Generators	[-41:666:1]	Generators of the group modulo torsion
j	112489728522417/62811265517	j-invariant
L	3.8585210355252	L(r)(E,1)/r!
Ω	0.4551121128072	Real period
R	4.239088487148	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	1001b4 64064bn3 112112bf3	Quadratic twists by: -4 8 -7

Hecke Eigenvalues for elliptic curve 16016j3

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

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Quadratic twists for elliptic curve 16016j3

-4	8	-7
1001b4	64064bn3	112112bf3

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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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