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	14112bb	Isogeny class
Conductor	14112	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	199185983926272 = 212 · 310 · 77	Discriminant
Eigenvalues	2+ 3- -2 7- -4  6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-21756,-1031744]	[a1,a2,a3,a4,a6]
Generators	[-91:441:1]	Generators of the group modulo torsion
j	3241792/567	j-invariant
L	4.0272125106121	L(r)(E,1)/r!
Ω	0.39780679429769	Real period
R	1.2654423480002	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	14112z3 28224fu1 4704bd3 2016g3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14112bb2

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

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Quadratic twists for elliptic curve 14112bb2

-4	8	-3	-7
14112z3	28224fu1	4704bd3	2016g3

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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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