Cremona's table of elliptic curves

14630 = 2 · 5 · 7 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 11+ 19-	Signs for the Atkin-Lehner involutions
Class	14630i	Isogeny class
Conductor	14630	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	2769127494927447500 = 22 · 54 · 72 · 113 · 198	Discriminant
Eigenvalues	2+  0 5- 7+ 11+  2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1459214,674088120]	[a1,a2,a3,a4,a6]
Generators	[-970:34780:1]	Generators of the group modulo torsion
j	343621906189006833274041/2769127494927447500	j-invariant
L	3.3462799863137	L(r)(E,1)/r!
Ω	0.25640711042915	Real period
R	1.6313315086666	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	117040co3 73150bg3 102410c3	Quadratic twists by: -4 5 -7

Hecke Eigenvalues for elliptic curve 14630i4

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	-2	-	-4	6	0	6	2	-4	4	-10	12	-10	-8	0	6	0	-12	10	2

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Quadratic twists for elliptic curve 14630i4

-4	5	-7
117040co3	73150bg3	102410c3

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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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