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	14400dp	Isogeny class
Conductor	14400	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	489776025600000000 = 218 · 314 · 58	Discriminant
Eigenvalues	2- 3- 5+  0  4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1944300,-1042958000]	[a1,a2,a3,a4,a6]
Generators	[18808784:818664084:6859]	Generators of the group modulo torsion
j	272223782641/164025	j-invariant
L	5.1520216213782	L(r)(E,1)/r!
Ω	0.12785698006599	Real period
R	10.073798119428	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	14400y5 3600bf5 4800cd5 2880bd5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14400dp5

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

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Quadratic twists for elliptic curve 14400dp5

-4	8	-3	5
14400y5	3600bf5	4800cd5	2880bd5

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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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