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	14784cc	Isogeny class
Conductor	14784	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	6649993672261632 = 219 · 34 · 76 · 113	Discriminant
Eigenvalues	2- 3-  0 7+ 11+ -2  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-904513,330783935]	[a1,a2,a3,a4,a6]
Generators	[527:864:1]	Generators of the group modulo torsion
j	312196988566716625/25367712678	j-invariant
L	5.5381577204916	L(r)(E,1)/r!
Ω	0.40224199025912	Real period
R	1.7210279678049	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14784r4 3696n4 44352ds4 103488fc4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14784cc4

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
-	-	0	+	+	-2	0	2	0	6	-2	-2	0	-4	6	6	0	-2	-4	12	-4	-8	6	-6	2

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Quadratic twists for elliptic curve 14784cc4

-4	8	-3	-7
14784r4	3696n4	44352ds4	103488fc4

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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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