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	14400cc	Isogeny class
Conductor	14400	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	-238878720000 = -1 · 219 · 36 · 54	Discriminant
Eigenvalues	2+ 3- 5-  2 -3  4  3 -5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-300,23600]	[a1,a2,a3,a4,a6]
Generators	[-10:160:1]	Generators of the group modulo torsion
j	-25/2	j-invariant
L	5.1611218130323	L(r)(E,1)/r!
Ω	0.81525825701635	Real period
R	0.52755489529587	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	14400ew1 450b1 1600j1 14400bh3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14400cc1

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
+	-	-	2	-3	4	3	-5	-6	0	2	-2	3	4	-12	6	0	-2	13	-12	11	-10	-9	-15	2

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Quadratic twists for elliptic curve 14400cc1

-4	8	-3	5
14400ew1	450b1	1600j1	14400bh3

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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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