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	14400dg	Isogeny class
Conductor	14400	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	46080	Modular degree for the optimal curve
Δ	-125971200000000 = -1 · 214 · 39 · 58	Discriminant
Eigenvalues	2- 3+ 5-  1  4 -1 -4  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-54000,4860000]	[a1,a2,a3,a4,a6]
Generators	[225:2025:1]	Generators of the group modulo torsion
j	-138240	j-invariant
L	5.1877035592187	L(r)(E,1)/r!
Ω	0.59001421540115	Real period
R	1.4654176752029	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14400p1 3600f1 14400dh1 14400ct1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14400dg1

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
-	+	-	1	4	-1	-4	1	-4	-4	5	-6	12	-5	8	-12	8	-7	-13	-12	6	-12	8	0	13

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Quadratic twists for elliptic curve 14400dg1

-4	8	-3	5
14400p1	3600f1	14400dh1	14400ct1

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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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