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	14880o	Isogeny class
Conductor	14880	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	18600000000 = 29 · 3 · 58 · 31	Discriminant
Eigenvalues	2- 3- 5-  0 -4  2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1200,-15000]	[a1,a2,a3,a4,a6]
j	373559126408/36328125	j-invariant
L	3.2646782446517	L(r)(E,1)/r!
Ω	0.81616956116294	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14880k3 29760bn4 44640i3 74400a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14880o2

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 14880o2

-4	8	-3	5
14880k3	29760bn4	44640i3	74400a3

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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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