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	14400cl	Isogeny class
Conductor	14400	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	38400	Modular degree for the optimal curve
Δ	-4428675000000 = -1 · 26 · 311 · 58	Discriminant
Eigenvalues	2+ 3- 5- -3  0 -5  0  5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-41250,3226250]	[a1,a2,a3,a4,a6]
Generators	[121:81:1]	Generators of the group modulo torsion
j	-425920000/243	j-invariant
L	4.0172785156597	L(r)(E,1)/r!
Ω	0.76651539981708	Real period
R	1.3102406411594	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	14400cj1 7200x1 4800n1 14400bk1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14400cl1

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
+	-	-	-3	0	-5	0	5	-4	4	5	-10	10	-1	2	10	10	5	3	-10	10	0	-14	-16	5

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Quadratic twists for elliptic curve 14400cl1

-4	8	-3	5
14400cj1	7200x1	4800n1	14400bk1

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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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