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	14784bv	Isogeny class
Conductor	14784	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	203214985204137984 = 216 · 36 · 74 · 116	Discriminant
Eigenvalues	2- 3+ -2 7+ 11-  6 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2347969,1385411809]	[a1,a2,a3,a4,a6]
Generators	[-691:51744:1]	Generators of the group modulo torsion
j	21843440425782779332/3100814593569	j-invariant
L	3.3600727744452	L(r)(E,1)/r!
Ω	0.30606734558674	Real period
R	1.8297023094726	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	14784bf2 3696i2 44352dl2 103488ir2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14784bv2

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

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Quadratic twists for elliptic curve 14784bv2

-4	8	-3	-7
14784bf2	3696i2	44352dl2	103488ir2

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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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