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	14400a	Isogeny class
Conductor	14400	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	-4320000000000 = -1 · 214 · 33 · 510	Discriminant
Eigenvalues	2+ 3+ 5+  1  0 -7  0  7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,0,100000]	[a1,a2,a3,a4,a6]
Generators	[41:411:1]	Generators of the group modulo torsion
j	0	j-invariant
L	4.8183360875854	L(r)(E,1)/r!
Ω	0.61743656018084	Real period
R	3.9018875770606	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	14400cs1 900a1 14400a2 14400n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14400a1

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	0	-7	0	7	0	0	11	-10	0	-13	0	0	0	1	11	0	10	-4	0	0	19

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Quadratic twists for elliptic curve 14400a1

-4	8	-3	5
14400cs1	900a1	14400a2	14400n1

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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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