Cremona's table of elliptic curves

4840 = 2³ · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	4840f	Isogeny class
Conductor	4840	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	428717762000 = 24 · 53 · 118	Discriminant
Eigenvalues	2-  0 5+  2 11-  0  0  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4598,115797]	[a1,a2,a3,a4,a6]
Generators	[-66:363:1]	Generators of the group modulo torsion
j	379275264/15125	j-invariant
L	3.6462917474596	L(r)(E,1)/r!
Ω	0.93418201861048	Real period
R	1.9515959817355	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	9680e1 38720bf1 43560z1 24200e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4840f1

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
-	0	+	2	-	0	0	8	-8	-10	8	-10	2	6	-8	14	-4	-10	4	0	8	4	-10	6	-10

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Quadratic twists for elliptic curve 4840f1

-4	8	-3	5	-11
9680e1	38720bf1	43560z1	24200e1	440a1

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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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