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	4848g	Isogeny class
Conductor	4848	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	232704 = 28 · 32 · 101	Discriminant
Eigenvalues	2+ 3- -3  4  2 -7 -3  3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-17,-21]	[a1,a2,a3,a4,a6]
Generators	[-2:3:1]	Generators of the group modulo torsion
j	2249728/909	j-invariant
L	4.1582957796507	L(r)(E,1)/r!
Ω	2.4234847223479	Real period
R	0.8579166481442	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	2424d1 19392ba1 14544e1 121200q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4848g1

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
+	-	-3	4	2	-7	-3	3	3	-6	-5	-6	2	4	-7	-12	6	6	2	-1	-8	11	-14	-8	-10

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Quadratic twists for elliptic curve 4848g1

-4	8	-3	5
2424d1	19392ba1	14544e1	121200q1

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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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