Cremona's table of elliptic curves

2448 = 2⁴ · 3² · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 17-	Signs for the Atkin-Lehner involutions
Class	2448p	Isogeny class
Conductor	2448	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	34611201186988032 = 230 · 38 · 173	Discriminant
Eigenvalues	2- 3-  0 -2  0  2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-108075,-10338982]	[a1,a2,a3,a4,a6]
j	46753267515625/11591221248	j-invariant
L	1.6085353687122	L(r)(E,1)/r!
Ω	0.2680892281187	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	306a3 9792bw3 816e3 61200eu3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2448p3

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	-2	0	2	-	4	-6	0	10	8	-6	4	12	-6	-12	8	4	6	2	10	12	18	14

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Quadratic twists for elliptic curve 2448p3

-4	8	-3	5	-7	17
306a3	9792bw3	816e3	61200eu3	119952ej3	41616bx3

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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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