Cremona's table of elliptic curves

14160 = 2⁴ · 3 · 5 · 59

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 59+	Signs for the Atkin-Lehner involutions
Class	14160ba	Isogeny class
Conductor	14160	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	3722453299200 = 212 · 3 · 52 · 594	Discriminant
Eigenvalues	2- 3- 5-  0  4  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-7560,-237900]	[a1,a2,a3,a4,a6]
j	11667736047241/908802075	j-invariant
L	4.1161590855497	L(r)(E,1)/r!
Ω	0.51451988569371	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	885b3 56640bu4 42480bp4 70800u4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14160ba3

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	4	6	-6	4	8	6	4	-10	-6	0	8	6	+	6	0	8	10	0	-12	-18	2

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Quadratic twists for elliptic curve 14160ba3

-4	8	-3	5
885b3	56640bu4	42480bp4	70800u4

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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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