Cremona's table of elliptic curves

14880 = 2⁵ · 3 · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 31-	Signs for the Atkin-Lehner involutions
Class	14880k	Isogeny class
Conductor	14880	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-35463206400 = -1 · 29 · 3 · 52 · 314	Discriminant
Eigenvalues	2- 3+ 5-  0  4  2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,480,-8268]	[a1,a2,a3,a4,a6]
j	23838140152/69264075	j-invariant
L	2.3799647892708	L(r)(E,1)/r!
Ω	0.59499119731771	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	14880o4 29760cl3 44640o2 74400bc2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14880k4

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

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Quadratic twists for elliptic curve 14880k4

-4	8	-3	5
14880o4	29760cl3	44640o2	74400bc2

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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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