Cremona's table of elliptic curves

14042 = 2 · 7 · 17 · 59

Field	Data	Notes
Atkin-Lehner	2- 7- 17- 59+	Signs for the Atkin-Lehner involutions
Class	14042f	Isogeny class
Conductor	14042	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	4128	Modular degree for the optimal curve
Δ	16232552 = 23 · 7 · 173 · 59	Discriminant
Eigenvalues	2- -2  0 7-  0 -4 17-  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-118,444]	[a1,a2,a3,a4,a6]
j	181802454625/16232552	j-invariant
L	2.1452975048873	L(r)(E,1)/r!
Ω	2.1452975048873	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	112336h1 126378q1 98294q1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 14042f1

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	0	-	0	-4	-	5	9	-3	8	2	-9	5	-3	-6	+	-1	11	6	8	-10	-12	-15	8

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Quadratic twists for elliptic curve 14042f1

-4	-3	-7
112336h1	126378q1	98294q1

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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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