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	14784d	Isogeny class
Conductor	14784	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	1209089758593024 = 220 · 34 · 76 · 112	Discriminant
Eigenvalues	2+ 3+ -2 7+ 11+  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-161089,24883009]	[a1,a2,a3,a4,a6]
Generators	[-120:6517:1]	Generators of the group modulo torsion
j	1763535241378513/4612311396	j-invariant
L	3.1019905711188	L(r)(E,1)/r!
Ω	0.48752527330454	Real period
R	3.1813638604753	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	14784cq2 462f2 44352bk2 103488dd2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14784d2

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

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Quadratic twists for elliptic curve 14784d2

-4	8	-3	-7
14784cq2	462f2	44352bk2	103488dd2

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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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