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	14400dr	Isogeny class
Conductor	14400	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	10935000000 = 26 · 37 · 57	Discriminant
Eigenvalues	2- 3- 5+  0 -4  2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4575,119000]	[a1,a2,a3,a4,a6]
Generators	[-20:450:1]	Generators of the group modulo torsion
j	14526784/15	j-invariant
L	4.6645107722454	L(r)(E,1)/r!
Ω	1.2734523216029	Real period
R	0.91572151801771	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	14400do1 7200g3 4800bh1 2880z1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14400dr1

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 14400dr1

-4	8	-3	5
14400do1	7200g3	4800bh1	2880z1

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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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