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	14400eg	Isogeny class
Conductor	14400	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	16796160000000 = 215 · 38 · 57	Discriminant
Eigenvalues	2- 3- 5+ -4  0 -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-432300,109402000]	[a1,a2,a3,a4,a6]
Generators	[386:216:1]	Generators of the group modulo torsion
j	23937672968/45	j-invariant
L	3.7957501010755	L(r)(E,1)/r!
Ω	0.59538487025489	Real period
R	0.79691101729091	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	14400ed3 7200bp3 4800ch3 2880bf4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14400eg4

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 14400eg4

-4	8	-3	5
14400ed3	7200bp3	4800ch3	2880bf4

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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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