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	4840b	Isogeny class
Conductor	4840	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-1703680 = -1 · 28 · 5 · 113	Discriminant
Eigenvalues	2+ -2 5+  0 11+  2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,4,64]	[a1,a2,a3,a4,a6]
Generators	[0:8:1]	Generators of the group modulo torsion
j	16/5	j-invariant
L	2.3750148746052	L(r)(E,1)/r!
Ω	2.0597606405731	Real period
R	1.1530538198576	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	9680c1 38720ba1 43560cd1 24200u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4840b1

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
+	-2	+	0	+	2	-6	0	-2	8	4	-2	4	4	2	-10	0	-8	-2	8	10	4	-12	6	6

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Quadratic twists for elliptic curve 4840b1

-4	8	-3	5	-11
9680c1	38720ba1	43560cd1	24200u1	4840e1

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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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