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	14196f	Isogeny class
Conductor	14196	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	77846775552 = 28 · 32 · 7 · 136	Discriminant
Eigenvalues	2- 3+ -4 7- -2 13+ -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6140,-182664]	[a1,a2,a3,a4,a6]
Generators	[-46:18:1]	Generators of the group modulo torsion
j	20720464/63	j-invariant
L	2.6731191785367	L(r)(E,1)/r!
Ω	0.53942484850224	Real period
R	1.6518329265938	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	56784ct2 42588w2 99372bt2 84b2	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 14196f2

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

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Quadratic twists for elliptic curve 14196f2

-4	-3	-7	13
56784ct2	42588w2	99372bt2	84b2

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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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