Cremona's table of elliptic curves

14280 = 2³ · 3 · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+ 17-	Signs for the Atkin-Lehner involutions
Class	14280bw	Isogeny class
Conductor	14280	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	-1542240000 = -1 · 28 · 34 · 54 · 7 · 17	Discriminant
Eigenvalues	2- 3- 5- 7+  0 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-260,2400]	[a1,a2,a3,a4,a6]
Generators	[-5:60:1]	Generators of the group modulo torsion
j	-7622072656/6024375	j-invariant
L	6.0632178177397	L(r)(E,1)/r!
Ω	1.3823997559283	Real period
R	1.0965022584347	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	28560y1 114240i1 42840f1 71400c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14280bw1

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

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Quadratic twists for elliptic curve 14280bw1

-4	8	-3	5	-7
28560y1	114240i1	42840f1	71400c1	99960by1

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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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