Cremona's table of elliptic curves

3822 = 2 · 3 · 7² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 13-	Signs for the Atkin-Lehner involutions
Class	3822x	Isogeny class
Conductor	3822	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	22033069422 = 2 · 3 · 710 · 13	Discriminant
Eigenvalues	2- 3+ -2 7- -4 13- -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-20434,-1132783]	[a1,a2,a3,a4,a6]
j	8020417344913/187278	j-invariant
L	1.5972455855563	L(r)(E,1)/r!
Ω	0.39931139638908	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	30576dc4 122304dh4 11466y3 95550eb4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3822x3

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	-	-6	4	0	-6	8	10	6	4	-4	10	-4	6	-8	0	10	-8	-4	6	2

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Quadratic twists for elliptic curve 3822x3

-4	8	-3	5	-7	13
30576dc4	122304dh4	11466y3	95550eb4	546g3	49686k4

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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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