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	14400x	Isogeny class
Conductor	14400	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	13436928000000 = 217 · 38 · 56	Discriminant
Eigenvalues	2+ 3- 5+  0  4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-345900,78302000]	[a1,a2,a3,a4,a6]
j	3065617154/9	j-invariant
L	2.4621959884085	L(r)(E,1)/r!
Ω	0.61554899710213	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	14400ds5 1800s5 4800c5 576d5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14400x5

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	-2	2	4	-8	6	8	6	6	4	0	2	4	2	-4	-8	-10	-8	4	6	-2

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Quadratic twists for elliptic curve 14400x5

-4	8	-3	5
14400ds5	1800s5	4800c5	576d5

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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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