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	16	Product of Tamagawa factors cp
Δ	-3540152353554432 = -1 · 218 · 32 · 7 · 118	Discriminant
Eigenvalues	2- 3+  2 7+ 11+ -6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1983,2861793]	[a1,a2,a3,a4,a6]
j	3288008303/13504609503	j-invariant
L	1.3978417193399	L(r)(E,1)/r!
Ω	0.34946042983497	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14784bm6 3696w6 44352ea5 103488hy5	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14784br6

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 14784br6

-4	8	-3	-7
14784bm6	3696w6	44352ea5	103488hy5

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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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