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	14784bg	Isogeny class
Conductor	14784	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	2560	Modular degree for the optimal curve
Δ	-236544 = -1 · 210 · 3 · 7 · 11	Discriminant
Eigenvalues	2+ 3-  3 7- 11+  1 -2 -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-49,119]	[a1,a2,a3,a4,a6]
Generators	[10:27:1]	Generators of the group modulo torsion
j	-12967168/231	j-invariant
L	7.2327539234679	L(r)(E,1)/r!
Ω	3.135702716546	Real period
R	2.3065815153022	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14784bw1 1848c1 44352cq1 103488bh1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14784bg1

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
+	-	3	-	+	1	-2	-7	-4	-7	2	-1	-12	12	-9	-12	-3	-10	7	-12	-15	12	18	-10	-4

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Quadratic twists for elliptic curve 14784bg1

-4	8	-3	-7
14784bw1	1848c1	44352cq1	103488bh1

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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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