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	14280bb	Isogeny class
Conductor	14280	Conductor
∏ cp	504	Product of Tamagawa factors cp
deg	120960	Modular degree for the optimal curve
Δ	-40534895473632000 = -1 · 28 · 32 · 53 · 73 · 177	Discriminant
Eigenvalues	2+ 3- 5- 7- -2 -5 17-  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-70945,-12136957]	[a1,a2,a3,a4,a6]
Generators	[371:3570:1]	Generators of the group modulo torsion
j	-154260682146128896/158339435443875	j-invariant
L	6.1278521769706	L(r)(E,1)/r!
Ω	0.14048939015476	Real period
R	0.086543452467657	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	28560s1 114240bg1 42840bv1 71400cd1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14280bb1

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	-5	-	2	-5	-4	-3	11	-5	8	-3	4	-4	-13	12	-6	-8	10	-11	14	6

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Quadratic twists for elliptic curve 14280bb1

-4	8	-3	5	-7
28560s1	114240bg1	42840bv1	71400cd1	99960e1

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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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