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	14280h	Isogeny class
Conductor	14280	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	14994000 = 24 · 32 · 53 · 72 · 17	Discriminant
Eigenvalues	2+ 3+ 5- 7+  2  0 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-715,7600]	[a1,a2,a3,a4,a6]
Generators	[-5:105:1]	Generators of the group modulo torsion
j	2530050082816/937125	j-invariant
L	4.4249278690005	L(r)(E,1)/r!
Ω	2.1757587136672	Real period
R	0.33895669291552	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	28560bw1 114240dd1 42840bk1 71400dm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14280h1

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

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Quadratic twists for elliptic curve 14280h1

-4	8	-3	5	-7
28560bw1	114240dd1	42840bk1	71400dm1	99960bf1

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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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