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	14784bf	Isogeny class
Conductor	14784	Conductor
∏ cp	384	Product of Tamagawa factors cp
Δ	5.3447495392543E+20	Discriminant
Eigenvalues	2+ 3- -2 7- 11+  6 -2  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2560929,-1119339585]	[a1,a2,a3,a4,a6]
Generators	[-1302:3087:1]	Generators of the group modulo torsion
j	14171198121996897746/4077720290568771	j-invariant
L	5.549404996763	L(r)(E,1)/r!
Ω	0.12196357585603	Real period
R	1.8958546154092	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	14784bv3 1848b3 44352co4 103488x4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14784bf3

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 14784bf3

-4	8	-3	-7
14784bv3	1848b3	44352co4	103488x4

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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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