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	14400dq	Isogeny class
Conductor	14400	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	377913600000000 = 214 · 310 · 58	Discriminant
Eigenvalues	2- 3- 5+  0  4  6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-18300,182000]	[a1,a2,a3,a4,a6]
Generators	[-115:875:1]	Generators of the group modulo torsion
j	3631696/2025	j-invariant
L	5.2613147396346	L(r)(E,1)/r!
Ω	0.46355376844283	Real period
R	2.8374889267476	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	14400z2 3600l2 4800bi2 2880be2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14400dq2

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	6	-6	-4	0	-2	8	-2	6	-12	-8	-6	-12	-14	-4	8	6	8	-12	-10	-2

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Quadratic twists for elliptic curve 14400dq2

-4	8	-3	5
14400z2	3600l2	4800bi2	2880be2

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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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