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	4840d	Isogeny class
Conductor	4840	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	4032	Modular degree for the optimal curve
Δ	-212960000000 = -1 · 211 · 57 · 113	Discriminant
Eigenvalues	2-  1 5+ -3 11+  4 -3  3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,224,22240]	[a1,a2,a3,a4,a6]
j	453962/78125	j-invariant
L	1.5408971516682	L(r)(E,1)/r!
Ω	0.77044857583411	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	9680a1 38720y1 43560w1 24200a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4840d1

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	+	-3	+	4	-3	3	4	1	-5	-5	2	8	-10	11	0	-1	4	5	-10	8	0	-15	-6

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Quadratic twists for elliptic curve 4840d1

-4	8	-3	5	-11
9680a1	38720y1	43560w1	24200a1	4840a1

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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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