Cremona's table of elliptic curves

5160 = 2³ · 3 · 5 · 43

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 43-	Signs for the Atkin-Lehner involutions
Class	5160j	Isogeny class
Conductor	5160	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	3153920	Modular degree for the optimal curve
Δ	-6.7752238070232E+27	Discriminant
Eigenvalues	2- 3+ 5+ -2  5 -5  1 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,399549679,2496643493445]	[a1,a2,a3,a4,a6]
Generators	[1917844384058707:685476882728132850:15419656169]	Generators of the group modulo torsion
j	27554726454844416496885738496/26465717996184551883676875	j-invariant
L	2.8902713044035	L(r)(E,1)/r!
Ω	0.027641500621746	Real period
R	13.070343683375	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	10320i1 41280bn1 15480i1 25800l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5160j1

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	5	-5	1	-2	1	8	-7	-4	9	-	8	-5	-4	4	11	-14	-8	8	-3	6	-9

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Quadratic twists for elliptic curve 5160j1

-4	8	-3	5
10320i1	41280bn1	15480i1	25800l1

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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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