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	14196d	Isogeny class
Conductor	14196	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	86317205353037568 = 28 · 310 · 7 · 138	Discriminant
Eigenvalues	2- 3+  0 7-  2 13+  4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1052588,415768248]	[a1,a2,a3,a4,a6]
Generators	[-391:27702:1]	Generators of the group modulo torsion
j	104375673106000/69854967	j-invariant
L	4.3791121721175	L(r)(E,1)/r!
Ω	0.33726235505274	Real period
R	4.3280966153019	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	56784ck2 42588p2 99372bh2 1092a2	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 14196d2

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	+	4	-4	2	6	0	-10	-4	-4	0	10	-4	-2	0	6	-14	-4	-16	-12	-6

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Quadratic twists for elliptic curve 14196d2

-4	-3	-7	13
56784ck2	42588p2	99372bh2	1092a2

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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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