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	2448q	Isogeny class
Conductor	2448	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	58680557568 = 214 · 36 · 173	Discriminant
Eigenvalues	2- 3-  0  4  6  2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-14835,-695374]	[a1,a2,a3,a4,a6]
j	120920208625/19652	j-invariant
L	2.5955724316331	L(r)(E,1)/r!
Ω	0.43259540527219	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	306b3 9792bx3 272d3 61200fd3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2448q3

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	4	6	2	-	4	0	0	4	-4	-6	-8	0	6	0	-4	-8	0	2	-8	0	6	14

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Quadratic twists for elliptic curve 2448q3

-4	8	-3	5	-7	17
306b3	9792bx3	272d3	61200fd3	119952en3	41616ca3

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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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