Cremona's table of elliptic curves

14994 = 2 · 3² · 7² · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 17-	Signs for the Atkin-Lehner involutions
Class	14994cx	Isogeny class
Conductor	14994	Conductor
∏ cp	456	Product of Tamagawa factors cp
deg	87552	Modular degree for the optimal curve
Δ	-1932233399599104 = -1 · 219 · 37 · 73 · 173	Discriminant
Eigenvalues	2- 3- -1 7-  1 -5 17- -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-30533,2955453]	[a1,a2,a3,a4,a6]
Generators	[-61:-2112:1]	Generators of the group modulo torsion
j	-12589171852447/7727480832	j-invariant
L	6.6544451127856	L(r)(E,1)/r!
Ω	0.43264204434425	Real period
R	0.033730150775813	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	119952gj1 4998d1 14994cg1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 14994cx1

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	-	1	-5	-	-8	6	4	2	3	6	13	2	-5	-4	2	-5	-14	11	1	-15	-5	-1

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Quadratic twists for elliptic curve 14994cx1

-4	-3	-7
119952gj1	4998d1	14994cg1

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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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