Cremona's table of elliptic curves

5840 = 2⁴ · 5 · 73

Field	Data	Notes
Atkin-Lehner	2- 5- 73-	Signs for the Atkin-Lehner involutions
Class	5840k	Isogeny class
Conductor	5840	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-34105600000000 = -1 · 214 · 58 · 732	Discriminant
Eigenvalues	2-  0 5- -2  6 -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-14867,-752174]	[a1,a2,a3,a4,a6]
j	-88722503613801/8326562500	j-invariant
L	1.7202507224232	L(r)(E,1)/r!
Ω	0.2150313403029	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	730f2 23360r2 52560ba2 29200i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5840k2

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	6	-2	-6	0	4	6	2	-6	6	-10	10	-10	2	10	8	0	-	4	2	10	-10

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Quadratic twists for elliptic curve 5840k2

-4	8	-3	5
730f2	23360r2	52560ba2	29200i2

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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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