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	2448o	Isogeny class
Conductor	2448	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	862949376 = 212 · 36 · 172	Discriminant
Eigenvalues	2- 3-  2 -4  0 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-819,-8910]	[a1,a2,a3,a4,a6]
Generators	[-17:10:1]	Generators of the group modulo torsion
j	20346417/289	j-invariant
L	3.2371961203246	L(r)(E,1)/r!
Ω	0.89320691217056	Real period
R	1.8121199445591	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	153c2 9792bs2 272b2 61200fz2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2448o2

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	-4	0	-2	+	4	4	-6	-4	-2	6	-4	0	-6	-12	-10	-4	-4	-6	-12	-4	-10	2

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Quadratic twists for elliptic curve 2448o2

-4	8	-3	5	-7	17
153c2	9792bs2	272b2	61200fz2	119952go2	41616cl2

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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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