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	4840h	Isogeny class
Conductor	4840	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-5.358972025E+19	Discriminant
Eigenvalues	2-  0 5- -4 11- -6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-317867,-358898826]	[a1,a2,a3,a4,a6]
j	-1957960715364/29541015625	j-invariant
L	1.0249525318815	L(r)(E,1)/r!
Ω	0.085412710990128	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9680g4 38720g3 43560s3 24200g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4840h4

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	-	-4	-	-6	6	-4	4	2	8	-10	-10	0	4	-10	-4	2	-8	0	14	16	8	-6	2

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Quadratic twists for elliptic curve 4840h4

-4	8	-3	5	-11
9680g4	38720g3	43560s3	24200g3	440c4

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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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