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	14880i	Isogeny class
Conductor	14880	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2048	Modular degree for the optimal curve
Δ	-922560 = -1 · 26 · 3 · 5 · 312	Discriminant
Eigenvalues	2+ 3- 5-  2 -4 -4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,10,48]	[a1,a2,a3,a4,a6]
Generators	[-6:51:8]	Generators of the group modulo torsion
j	1560896/14415	j-invariant
L	6.3763866428684	L(r)(E,1)/r!
Ω	2.0497680658341	Real period
R	3.1107844585693	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	14880g1 29760bo2 44640bi1 74400bu1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14880i1

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

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Quadratic twists for elliptic curve 14880i1

-4	8	-3	5
14880g1	29760bo2	44640bi1	74400bu1

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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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