Cremona's table of elliptic curves

936 = 2³ · 3² · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 13-	Signs for the Atkin-Lehner involutions
Class	936i	Isogeny class
Conductor	936	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	63670883328 = 210 · 314 · 13	Discriminant
Eigenvalues	2- 3-  2  4  0 13- -2  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2739,53822]	[a1,a2,a3,a4,a6]
j	3044193988/85293	j-invariant
L	2.2013342179795	L(r)(E,1)/r!
Ω	1.1006671089897	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	1872h3 7488s3 312d3 23400m4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 936i3

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

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Quadratic twists for elliptic curve 936i3

-4	8	-3	5	-7	-11	13
1872h3	7488s3	312d3	23400m4	45864bk4	113256o4	12168f3

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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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