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	4848l	Isogeny class
Conductor	4848	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	232704 = 28 · 32 · 101	Discriminant
Eigenvalues	2- 3+  1 -4 -2  1  1  3	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-165,873]	[a1,a2,a3,a4,a6]
Generators	[9:6:1]	Generators of the group modulo torsion
j	1952382976/909	j-invariant
L	2.991548463358	L(r)(E,1)/r!
Ω	3.0894990609979	Real period
R	0.24207390941816	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	1212a1 19392bk1 14544t1 121200dr1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4848l1

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	-4	-2	1	1	3	-1	6	11	-6	6	-4	-3	-12	10	6	2	-5	4	-5	-18	-4	-18

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Quadratic twists for elliptic curve 4848l1

-4	8	-3	5
1212a1	19392bk1	14544t1	121200dr1

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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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