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	14994m	Isogeny class
Conductor	14994	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	5713073856 = 26 · 37 · 74 · 17	Discriminant
Eigenvalues	2+ 3- -1 7+ -4 -5 17+ -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-450,-428]	[a1,a2,a3,a4,a6]
Generators	[-19:41:1] [-12:62:1]	Generators of the group modulo torsion
j	5764801/3264	j-invariant
L	4.8132846214644	L(r)(E,1)/r!
Ω	1.1179525669398	Real period
R	0.17939359130715	Regulator
r	2	Rank of the group of rational points
S	0.99999999999992	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	119952do1 4998z1 14994bb1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 14994m1

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	-5	+	-8	-2	9	-3	-8	5	-4	-9	-12	1	-6	-6	14	-12	12	-9	0	-4

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Quadratic twists for elliptic curve 14994m1

-4	-3	-7
119952do1	4998z1	14994bb1

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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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