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	14400bs	Isogeny class
Conductor	14400	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	2799360000000000 = 217 · 37 · 510	Discriminant
Eigenvalues	2+ 3- 5+ -4  0 -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-122700,-16346000]	[a1,a2,a3,a4,a6]
Generators	[-211:387:1] [-210:400:1]	Generators of the group modulo torsion
j	136835858/1875	j-invariant
L	6.190651182734	L(r)(E,1)/r!
Ω	0.25529870302335	Real period
R	3.0310823700933	Regulator
r	2	Rank of the group of rational points
S	0.99999999999997	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14400ee4 1800h3 4800y4 2880l3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14400bs3

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
+	-	+	-4	0	-6	-2	-4	-8	-6	0	-6	-10	-4	8	-10	0	-6	-4	0	14	16	-12	-2	-2

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Quadratic twists for elliptic curve 14400bs3

-4	8	-3	5
14400ee4	1800h3	4800y4	2880l3

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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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