Cremona's table of elliptic curves

13860 = 2² · 3² · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7- 11+	Signs for the Atkin-Lehner involutions
Class	13860f	Isogeny class
Conductor	13860	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	102696446160 = 24 · 39 · 5 · 72 · 113	Discriminant
Eigenvalues	2- 3+ 5- 7- 11+  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-59832,-5633091]	[a1,a2,a3,a4,a6]
j	75216478666752/326095	j-invariant
L	2.7473171488075	L(r)(E,1)/r!
Ω	0.30525746097861	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	55440cg3 13860c1 69300a3 97020f3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 13860f3

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	6	-4	0	6	8	-10	-6	8	0	6	-6	-4	14	0	2	-10	6	18	8

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Quadratic twists for elliptic curve 13860f3

-4	-3	5	-7
55440cg3	13860c1	69300a3	97020f3

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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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