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	14400er	Isogeny class
Conductor	14400	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	-1119744000 = -1 · 212 · 37 · 53	Discriminant
Eigenvalues	2- 3- 5-  2  6 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,60,-1600]	[a1,a2,a3,a4,a6]
j	64/3	j-invariant
L	2.9652473511227	L(r)(E,1)/r!
Ω	0.74131183778067	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14400ez1 7200v1 4800bt1 14400ey1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14400er1

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

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Quadratic twists for elliptic curve 14400er1

-4	8	-3	5
14400ez1	7200v1	4800bt1	14400ey1

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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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