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	13860i	Isogeny class
Conductor	13860	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	13824	Modular degree for the optimal curve
Δ	-114578679600 = -1 · 24 · 312 · 52 · 72 · 11	Discriminant
Eigenvalues	2- 3- 5+ 7+ 11+  0  6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1212,1213]	[a1,a2,a3,a4,a6]
Generators	[11:126:1]	Generators of the group modulo torsion
j	16880451584/9823275	j-invariant
L	4.1750442049188	L(r)(E,1)/r!
Ω	0.63440240556625	Real period
R	1.6452665407189	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	55440dq1 4620l1 69300bq1 97020cl1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 13860i1

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	6	-6	4	-8	-8	6	4	0	12	6	4	-10	4	-8	-4	2	18	-6	2

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Quadratic twists for elliptic curve 13860i1

-4	-3	5	-7
55440dq1	4620l1	69300bq1	97020cl1

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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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