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	14400do	Isogeny class
Conductor	14400	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-699840000000000 = -1 · 215 · 37 · 510	Discriminant
Eigenvalues	2- 3- 5+  0  4  2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,21300,-434000]	[a1,a2,a3,a4,a6]
Generators	[110:1800:1]	Generators of the group modulo torsion
j	2863288/1875	j-invariant
L	5.0850673832172	L(r)(E,1)/r!
Ω	0.29026769787108	Real period
R	1.0949089884339	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	14400dr4 7200h4 4800cc4 2880y4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14400do4

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	-2	-8	4	-6	0	2	6	4	-12	6	12	-14	-12	0	-2	-8	4	-2	14

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Quadratic twists for elliptic curve 14400do4

-4	8	-3	5
14400dr4	7200h4	4800cc4	2880y4

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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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