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	192	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	[1811:17472:1]	Generators of the group modulo torsion
j	21843440425782779332/3100814593569	j-invariant
L	5.549404996763	L(r)(E,1)/r!
Ω	0.12196357585603	Real period
R	3.7917092308184	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	14784bv2 1848b2 44352co2 103488x2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14784bf2

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 14784bf2

-4	8	-3	-7
14784bv2	1848b2	44352co2	103488x2

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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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