Cremona's table of elliptic curves

14112 = 2⁵ · 3² · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 7-	Signs for the Atkin-Lehner involutions
Class	14112cc	Isogeny class
Conductor	14112	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	43008	Modular degree for the optimal curve
Δ	50833922981184 = 26 · 39 · 79	Discriminant
Eigenvalues	2- 3- -2 7-  2  0 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-112161,14454020]	[a1,a2,a3,a4,a6]
j	82881856/27	j-invariant
L	1.2403854112257	L(r)(E,1)/r!
Ω	0.62019270561285	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14112y1 28224bw2 4704e1 14112bz1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14112cc1

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
-	-	-2	-	2	0	-2	0	-2	-6	-4	6	2	0	0	6	-12	12	-12	10	12	12	-12	-14	-12

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Quadratic twists for elliptic curve 14112cc1

-4	8	-3	-7
14112y1	28224bw2	4704e1	14112bz1

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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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