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	14784br	Isogeny class
Conductor	14784	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	15233221656576 = 218 · 34 · 72 · 114	Discriminant
Eigenvalues	2- 3+  2 7+ 11+ -6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-18177,930465]	[a1,a2,a3,a4,a6]
j	2533811507137/58110129	j-invariant
L	1.3978417193399	L(r)(E,1)/r!
Ω	0.69892085966994	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	14784bm3 3696w3 44352ea4 103488hy4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14784br3

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	+	+	-6	2	4	0	2	-8	-6	10	-4	8	-6	4	10	-12	0	2	-16	4	18	2

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Quadratic twists for elliptic curve 14784br3

-4	8	-3	-7
14784bm3	3696w3	44352ea4	103488hy4

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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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