Cremona's table of elliptic curves

4848 = 2⁴ · 3 · 101

Field	Data	Notes
Atkin-Lehner	2- 3+ 101-	Signs for the Atkin-Lehner involutions
Class	4848k	Isogeny class
Conductor	4848	Conductor
∏ cp	20	Product of Tamagawa factors cp
Δ	-258296229912576 = -1 · 213 · 3 · 1015	Discriminant
Eigenvalues	2- 3+  1  2 -2  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,9600,680064]	[a1,a2,a3,a4,a6]
Generators	[1880:81608:1]	Generators of the group modulo torsion
j	23885383766399/63060603006	j-invariant
L	3.6688392623654	L(r)(E,1)/r!
Ω	0.3872591518832	Real period
R	0.47369303533877	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	606f2 19392bj2 14544s2 121200dk2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4848k2

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
-	+	1	2	-2	4	-2	0	-4	0	-7	-12	-3	-4	12	-6	10	-3	-13	-2	4	-5	6	5	3

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Quadratic twists for elliptic curve 4848k2

-4	8	-3	5
606f2	19392bj2	14544s2	121200dk2

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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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