Cremona's table of elliptic curves

1386 = 2 · 3² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	1386k	Isogeny class
Conductor	1386	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	3143448 = 23 · 36 · 72 · 11	Discriminant
Eigenvalues	2- 3-  4 7+ 11-  2  4 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-4223,-104561]	[a1,a2,a3,a4,a6]
j	11422548526761/4312	j-invariant
L	3.5534775763065	L(r)(E,1)/r!
Ω	0.59224626271775	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	11088bu2 44352bd2 154a2 34650bk2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1386k2

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	4	-6	-4	2	-2	10	-4	-8	-2	-6	12	-14	-12	8	4	0	6	6	-14

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Quadratic twists for elliptic curve 1386k2

-4	8	-3	5	-7	-11
11088bu2	44352bd2	154a2	34650bk2	9702cg2	15246y2

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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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