Cremona's table of elliptic curves

14350 = 2 · 5² · 7 · 41

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+ 41+	Signs for the Atkin-Lehner involutions
Class	14350b	Isogeny class
Conductor	14350	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	170409989645875000 = 23 · 56 · 7 · 417	Discriminant
Eigenvalues	2+  3 5+ 7+ -2  0  3 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-240282817,-1433553773659]	[a1,a2,a3,a4,a6]
Generators	[-346785285233472852564080146729071109528019396517246826019285010505843056565696584905366030344954863441:173595663579464663866415508161926540593933071812038226408864827168615340410119335846647898082852836204:38749754461593753921253754144916380000246268880425294362226031386931256938686277577099520600052593]	Generators of the group modulo torsion
j	98191033604529537629349729/10906239337336	j-invariant
L	5.9026082714075	L(r)(E,1)/r!
Ω	0.038345894748615	Real period
R	153.93064394776	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	114800by2 129150cr2 574i2 100450u2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14350b2

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	+	+	-2	0	3	-8	4	-5	-3	-10	+	5	-6	9	-10	13	2	9	-4	-11	14	-1	-7

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Quadratic twists for elliptic curve 14350b2

-4	-3	5	-7
114800by2	129150cr2	574i2	100450u2

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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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