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	13860h	Isogeny class
Conductor	13860	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	5376	Modular degree for the optimal curve
Δ	9147600 = 24 · 33 · 52 · 7 · 112	Discriminant
Eigenvalues	2- 3+ 5- 7- 11- -4 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-852,-9571]	[a1,a2,a3,a4,a6]
Generators	[223:3300:1]	Generators of the group modulo torsion
j	158328373248/21175	j-invariant
L	5.1731271017013	L(r)(E,1)/r!
Ω	0.88367616528389	Real period
R	2.9270491300619	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	55440cf1 13860b1 69300f1 97020k1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 13860h1

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
-	+	-	-	-	-4	-2	-6	6	-4	6	2	-6	4	-8	6	-12	14	4	0	-12	4	0	-2	4

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Quadratic twists for elliptic curve 13860h1

-4	-3	5	-7
55440cf1	13860b1	69300f1	97020k1

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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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