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	14280bx	Isogeny class
Conductor	14280	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	122897250000 = 24 · 35 · 56 · 7 · 172	Discriminant
Eigenvalues	2- 3- 5- 7+  2  0 17- -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1275,-5202]	[a1,a2,a3,a4,a6]
Generators	[-9:75:1]	Generators of the group modulo torsion
j	14337547257856/7681078125	j-invariant
L	6.1139582839849	L(r)(E,1)/r!
Ω	0.84982690498087	Real period
R	0.23981190554416	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	28560ba1 114240m1 42840i1 71400e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14280bx1

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

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Quadratic twists for elliptic curve 14280bx1

-4	8	-3	5	-7
28560ba1	114240m1	42840i1	71400e1	99960ca1

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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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