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	14280bz	Isogeny class
Conductor	14280	Conductor
∏ cp	512	Product of Tamagawa factors cp
Δ	171846929721600 = 28 · 38 · 52 · 72 · 174	Discriminant
Eigenvalues	2- 3- 5- 7+ -4 -2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-31620,-2080800]	[a1,a2,a3,a4,a6]
Generators	[-90:210:1]	Generators of the group modulo torsion
j	13657873260790096/671277069225	j-invariant
L	5.708225051351	L(r)(E,1)/r!
Ω	0.35911246737329	Real period
R	1.9869210797329	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	28560bc2 114240p2 42840k2 71400h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14280bz2

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
-	-	-	+	-4	-2	-	-4	8	-2	0	6	2	4	-8	-2	4	-2	-4	-8	-6	0	-4	-6	2

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Quadratic twists for elliptic curve 14280bz2

-4	8	-3	5	-7
28560bc2	114240p2	42840k2	71400h2	99960cc2

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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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