Cremona's table of elliptic curves

14964 = 2² · 3 · 29 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 29- 43-	Signs for the Atkin-Lehner involutions
Class	14964c	Isogeny class
Conductor	14964	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-8799337364208 = -1 · 24 · 3 · 29 · 436	Discriminant
Eigenvalues	2- 3-  0 -1 -3  5 -3  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-8038,-314635]	[a1,a2,a3,a4,a6]
Generators	[45220:1192605:64]	Generators of the group modulo torsion
j	-3590060472544000/549958585263	j-invariant
L	5.6455413450234	L(r)(E,1)/r!
Ω	0.24999145664202	Real period
R	3.7638228527596	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	59856k2 44892f2	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 14964c2

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	-1	-3	5	-3	2	-6	-	8	2	-6	-	9	0	-6	8	-13	0	-4	8	-6	-3	8

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Quadratic twists for elliptic curve 14964c2

-4	-3
59856k2	44892f2

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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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