Cremona's table of elliptic curves

14168 = 2³ · 7 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2+ 7- 11+ 23-	Signs for the Atkin-Lehner involutions
Class	14168f	Isogeny class
Conductor	14168	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	63360	Modular degree for the optimal curve
Δ	-15351656379136 = -1 · 28 · 7 · 113 · 235	Discriminant
Eigenvalues	2+ -2 -3 7- 11+ -6  0  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-78177,8389411]	[a1,a2,a3,a4,a6]
Generators	[207:-1058:1]	Generators of the group modulo torsion
j	-206407894550668288/59967407731	j-invariant
L	2.0675193442913	L(r)(E,1)/r!
Ω	0.68395851177316	Real period
R	0.15114362265419	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	28336e1 113344cb1 127512bo1 99176h1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14168f1

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	-3	-	+	-6	0	6	-	0	2	-10	-5	-11	-2	-8	6	0	12	7	3	11	6	9	10

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Quadratic twists for elliptic curve 14168f1

-4	8	-3	-7
28336e1	113344cb1	127512bo1	99176h1

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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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