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	8	Product of Tamagawa factors cp
Δ	-249392369664 = -1 · 212 · 36 · 174	Discriminant
Eigenvalues	2- 3-  2 -4  0 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-99,-24030]	[a1,a2,a3,a4,a6]
Generators	[55:370:1]	Generators of the group modulo torsion
j	-35937/83521	j-invariant
L	3.2371961203246	L(r)(E,1)/r!
Ω	0.44660345608528	Real period
R	3.6242398891181	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	153c4 9792bs4 272b4 61200fz3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2448o4

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 2448o4

-4	8	-3	5	-7	17
153c4	9792bs4	272b4	61200fz3	119952go3	41616cl3

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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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