Cremona's table of elliptic curves

14190 = 2 · 3 · 5 · 11 · 43

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 11- 43-	Signs for the Atkin-Lehner involutions
Class	14190j	Isogeny class
Conductor	14190	Conductor
∏ cp	60	Product of Tamagawa factors cp
Δ	42902578125000 = 23 · 33 · 510 · 11 · 432	Discriminant
Eigenvalues	2+ 3- 5-  0 11-  2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-9873,-208772]	[a1,a2,a3,a4,a6]
Generators	[-76:360:1]	Generators of the group modulo torsion
j	106416234803256841/42902578125000	j-invariant
L	4.6680878675865	L(r)(E,1)/r!
Ω	0.49602131157364	Real period
R	0.62740420739543	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	113520y2 42570s2 70950bg2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 14190j2

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	-6	0	-6	8	0	-2	-6	-	-10	6	-12	6	14	-2	2	-12	2	-8	-2

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Quadratic twists for elliptic curve 14190j2

-4	-3	5
113520y2	42570s2	70950bg2

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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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