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	4848a	Isogeny class
Conductor	4848	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2048	Modular degree for the optimal curve
Δ	169641216 = 28 · 38 · 101	Discriminant
Eigenvalues	2+ 3+ -1  2  6  5  7  3	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-281,-1611]	[a1,a2,a3,a4,a6]
j	9619385344/662661	j-invariant
L	2.3415485038552	L(r)(E,1)/r!
Ω	1.1707742519276	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2424e1 19392bi1 14544b1 121200bh1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4848a1

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	6	5	7	3	1	6	7	-2	2	4	7	-12	-4	-6	14	-3	-14	11	-8	-18	6

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Quadratic twists for elliptic curve 4848a1

-4	8	-3	5
2424e1	19392bi1	14544b1	121200bh1

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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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