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	2448n	Isogeny class
Conductor	2448	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	15533088768 = 213 · 38 · 172	Discriminant
Eigenvalues	2- 3-  2  0 -4 -2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3995139,-3073590142]	[a1,a2,a3,a4,a6]
Generators	[3395118935:-372218327118:274625]	Generators of the group modulo torsion
j	2361739090258884097/5202	j-invariant
L	3.4318421795526	L(r)(E,1)/r!
Ω	0.10678655624076	Real period
R	16.068699564649	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	306c5 9792bq5 816h5 61200fh6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2448n5

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

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Quadratic twists for elliptic curve 2448n5

-4	8	-3	5	-7	17
306c5	9792bq5	816h5	61200fh6	119952gt6	41616ci6

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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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