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	14280q	Isogeny class
Conductor	14280	Conductor
∏ cp	56	Product of Tamagawa factors cp
deg	6150144	Modular degree for the optimal curve
Δ	-3.0762226318359E+26	Discriminant
Eigenvalues	2+ 3- 5+ 7- -2  2 17+ -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-385958256,3037911577200]	[a1,a2,a3,a4,a6]
Generators	[62084:14777616:1]	Generators of the group modulo torsion
j	-6209330302768171611865194436/300412366390228271484375	j-invariant
L	5.4629087175044	L(r)(E,1)/r!
Ω	0.053903191037993	Real period
R	7.2390475966626	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	28560a1 114240ce1 42840cl1 71400cj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14280q1

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	2	+	-8	-2	2	4	2	-10	4	10	2	-6	14	4	12	-6	10	-16	-12	-10

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Quadratic twists for elliptic curve 14280q1

-4	8	-3	5	-7
28560a1	114240ce1	42840cl1	71400cj1	99960v1

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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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