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	14280ba	Isogeny class
Conductor	14280	Conductor
∏ cp	504	Product of Tamagawa factors cp
deg	96768	Modular degree for the optimal curve
Δ	54197687250000 = 24 · 37 · 56 · 73 · 172	Discriminant
Eigenvalues	2+ 3- 5- 7- -2  4 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-250755,48245850]	[a1,a2,a3,a4,a6]
Generators	[-135:8925:1]	Generators of the group modulo torsion
j	108981872598107416576/3387355453125	j-invariant
L	6.4781663659984	L(r)(E,1)/r!
Ω	0.58697286357731	Real period
R	0.087591815513279	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	28560r1 114240bf1 42840bu1 71400cc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14280ba1

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

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Quadratic twists for elliptic curve 14280ba1

-4	8	-3	5	-7
28560r1	114240bf1	42840bu1	71400cc1	99960d1

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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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