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	2448l	Isogeny class
Conductor	2448	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-33958656 = -1 · 28 · 33 · 173	Discriminant
Eigenvalues	2- 3+ -3 -2  3 -1 17-  7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-24,284]	[a1,a2,a3,a4,a6]
Generators	[22:102:1]	Generators of the group modulo torsion
j	-221184/4913	j-invariant
L	2.6415006701113	L(r)(E,1)/r!
Ω	1.7379267483761	Real period
R	0.12665957069151	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	612b1 9792bh1 2448j2 61200dc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2448l1

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	-2	3	-1	-	7	3	-6	4	2	-9	1	-12	-12	-6	2	4	0	8	-14	-12	6	-16

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Quadratic twists for elliptic curve 2448l1

-4	8	-3	5	-7	17
612b1	9792bh1	2448j2	61200dc1	119952cs1	41616bq1

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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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