Cremona's table of elliptic curves

2544 = 2⁴ · 3 · 53

Field	Data	Notes
Atkin-Lehner	2- 3- 53-	Signs for the Atkin-Lehner involutions
Class	2544f	Isogeny class
Conductor	2544	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2112	Modular degree for the optimal curve
Δ	-4001366016 = -1 · 223 · 32 · 53	Discriminant
Eigenvalues	2- 3- -3  4  5 -2  5 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-192,-3276]	[a1,a2,a3,a4,a6]
j	-192100033/976896	j-invariant
L	2.3128211117356	L(r)(E,1)/r!
Ω	0.5782052779339	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	318d1 10176m1 7632i1 63600br1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2544f1

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	4	5	-2	5	-6	7	-8	-1	2	4	1	6	-	3	-2	10	0	-6	-15	10	-5	19

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Quadratic twists for elliptic curve 2544f1

-4	8	-3	5	-7
318d1	10176m1	7632i1	63600br1	124656cx1

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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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