Cremona's table of elliptic curves

14240 = 2⁵ · 5 · 89

Field	Data	Notes
Atkin-Lehner	2+ 5+ 89+	Signs for the Atkin-Lehner involutions
Class	14240c	Isogeny class
Conductor	14240	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1280	Modular degree for the optimal curve
Δ	142400 = 26 · 52 · 89	Discriminant
Eigenvalues	2+  2 5+  0  4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-26,-40]	[a1,a2,a3,a4,a6]
Generators	[74:165:8]	Generators of the group modulo torsion
j	31554496/2225	j-invariant
L	6.4630258120305	L(r)(E,1)/r!
Ω	2.1168909822641	Real period
R	3.0530744692001	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	14240k1 28480p1 128160bj1 71200k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14240c1

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	4	-2	-6	4	-4	4	-2	2	-6	10	0	-6	4	-8	12	0	-14	-4	2	+	-2

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Quadratic twists for elliptic curve 14240c1

-4	8	-3	5
14240k1	28480p1	128160bj1	71200k1

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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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