Cremona's table of elliptic curves

14784 = 2⁶ · 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	14784o	Isogeny class
Conductor	14784	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	1967099904 = 212 · 34 · 72 · 112	Discriminant
Eigenvalues	2+ 3+ -2 7- 11+ -2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-329,969]	[a1,a2,a3,a4,a6]
Generators	[-15:48:1] [-11:56:1]	Generators of the group modulo torsion
j	964430272/480249	j-invariant
L	5.5104752377619	L(r)(E,1)/r!
Ω	1.3078378951628	Real period
R	2.1067118708451	Regulator
r	2	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	14784ba2 7392g1 44352cn2 103488dc2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14784o2

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
+	+	-2	-	+	-2	-2	-8	-4	-10	-8	-6	-10	-4	8	2	-12	-2	4	-12	14	0	16	2	2

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Quadratic twists for elliptic curve 14784o2

-4	8	-3	-7
14784ba2	7392g1	44352cn2	103488dc2

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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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