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	14112p	Isogeny class
Conductor	14112	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	22131775991808 = 212 · 38 · 77	Discriminant
Eigenvalues	2+ 3-  0 7- -2  2  4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-14700,-647584]	[a1,a2,a3,a4,a6]
Generators	[-70:196:1]	Generators of the group modulo torsion
j	1000000/63	j-invariant
L	4.7078732836074	L(r)(E,1)/r!
Ω	0.4352928646152	Real period
R	0.67596348147257	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	14112bu2 28224bk1 4704s2 2016f2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14112p2

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	2	4	-4	-6	2	0	-6	8	8	4	6	0	14	-4	-2	2	-4	-12	0	-6

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Quadratic twists for elliptic curve 14112p2

-4	8	-3	-7
14112bu2	28224bk1	4704s2	2016f2

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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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