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	14400ed	Isogeny class
Conductor	14400	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	12244400640000000 = 215 · 314 · 57	Discriminant
Eigenvalues	2- 3- 5+  4  0 -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-72300,5258000]	[a1,a2,a3,a4,a6]
Generators	[370:5400:1]	Generators of the group modulo torsion
j	111980168/32805	j-invariant
L	5.3529677345533	L(r)(E,1)/r!
Ω	0.37237737869444	Real period
R	1.7968894060243	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	14400eg3 7200bn3 4800bn3 2880bh4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14400ed4

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	0	-2	-6	0	-4	-2	-8	6	6	12	-12	10	8	10	-12	-8	-10	16	-12	6	-18

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Quadratic twists for elliptic curve 14400ed4

-4	8	-3	5
14400eg3	7200bn3	4800bn3	2880bh4

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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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