Cremona's table of elliptic curves

14196 = 2² · 3 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 13+	Signs for the Atkin-Lehner involutions
Class	14196i	Isogeny class
Conductor	14196	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	6912	Modular degree for the optimal curve
Δ	-13908900096 = -1 · 28 · 38 · 72 · 132	Discriminant
Eigenvalues	2- 3-  1 7+ -2 13+ -3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,100,-5628]	[a1,a2,a3,a4,a6]
Generators	[52:-378:1]	Generators of the group modulo torsion
j	2530736/321489	j-invariant
L	5.8419712655613	L(r)(E,1)/r!
Ω	0.59356692727374	Real period
R	0.20504466995524	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	56784bx1 42588h1 99372l1 14196m1	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 14196i1

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
-	-	1	+	-2	+	-3	-2	0	9	8	-1	-9	-2	2	1	-10	3	-4	6	7	-2	2	-6	-10

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Quadratic twists for elliptic curve 14196i1

-4	-3	-7	13
56784bx1	42588h1	99372l1	14196m1

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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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