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	3822w	Isogeny class
Conductor	3822	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-179660827886904 = -1 · 23 · 318 · 73 · 132	Discriminant
Eigenvalues	2- 3+  2 7-  4 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-37017,2800671]	[a1,a2,a3,a4,a6]
j	-16354376146655191/523792501128	j-invariant
L	3.402719386253	L(r)(E,1)/r!
Ω	0.56711989770884	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	30576db2 122304dm2 11466ba2 95550dx2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3822w2

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	-	2	-4	4	0	4	4	0	8	-6	4	8	-14	-14	16	-10	-8	4	0	-2

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Quadratic twists for elliptic curve 3822w2

-4	8	-3	5	-7	13
30576db2	122304dm2	11466ba2	95550dx2	3822bd2	49686m2

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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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