Cremona's table of elliptic curves

14400 = 2⁶ · 3² · 5²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+	Signs for the Atkin-Lehner involutions
Class	14400k	Isogeny class
Conductor	14400	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	16124313600000000 = 221 · 39 · 58	Discriminant
Eigenvalues	2+ 3+ 5+ -2 -6 -4  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1838700,-959634000]	[a1,a2,a3,a4,a6]
Generators	[51015:1298125:27]	Generators of the group modulo torsion
j	8527173507/200	j-invariant
L	3.9796165031122	L(r)(E,1)/r!
Ω	0.12964997782869	Real period
R	7.6737701189015	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	14400cx4 450e4 14400j2 2880c4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14400k4

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

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Quadratic twists for elliptic curve 14400k4

-4	8	-3	5
14400cx4	450e4	14400j2	2880c4

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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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