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	14880l	Isogeny class
Conductor	14880	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-7092641280 = -1 · 29 · 3 · 5 · 314	Discriminant
Eigenvalues	2- 3+ 5- -4 -4 -2  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-160,4180]	[a1,a2,a3,a4,a6]
Generators	[-3:68:1] [17:78:1]	Generators of the group modulo torsion
j	-890277128/13852815	j-invariant
L	5.6670052258825	L(r)(E,1)/r!
Ω	1.1209309272128	Real period
R	10.111247871396	Regulator
r	2	Rank of the group of rational points
S	1.0000000000002	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	14880p4 29760cs3 44640r2 74400bg2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14880l4

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
-	+	-	-4	-4	-2	2	-8	0	-10	-	-10	-6	-12	0	-6	-4	10	4	4	6	-16	-4	6	10

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Quadratic twists for elliptic curve 14880l4

-4	8	-3	5
14880p4	29760cs3	44640r2	74400bg2

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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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