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	14112ch	Isogeny class
Conductor	14112	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	1024192512 = 212 · 36 · 73	Discriminant
Eigenvalues	2- 3- -4 7-  0 -4 -8  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-252,0]	[a1,a2,a3,a4,a6]
Generators	[-14:28:1] [-12:36:1]	Generators of the group modulo torsion
j	1728	j-invariant
L	5.5320954840579	L(r)(E,1)/r!
Ω	1.3162005887018	Real period
R	0.52538491582749	Regulator
r	2	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14112ch2 28224gk1 1568a2 14112cg2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14112ch2

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
-	-	-4	-	0	-4	-8	0	0	-10	0	2	-8	0	0	-14	0	-12	0	0	-16	0	0	16	-8

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Quadratic twists for elliptic curve 14112ch2

-4	8	-3	-7
14112ch2	28224gk1	1568a2	14112cg2

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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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