Cremona's table of elliptic curves

2829 = 3 · 23 · 41

Field	Data	Notes
Atkin-Lehner	3+ 23- 41-	Signs for the Atkin-Lehner involutions
Class	2829d	Isogeny class
Conductor	2829	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-253667943 = -1 · 38 · 23 · 412	Discriminant
Eigenvalues	1 3+ -2  2  2 -2  0  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,54,-729]	[a1,a2,a3,a4,a6]
Generators	[702:6291:8]	Generators of the group modulo torsion
j	16915218263/253667943	j-invariant
L	3.1930979261091	L(r)(E,1)/r!
Ω	0.85600032402017	Real period
R	3.7302531745699	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	45264s2 8487f2 70725p2 65067l2	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 2829d2

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
1	+	-2	2	2	-2	0	6	-	-6	0	2	-	0	8	-12	-4	-6	2	4	-6	10	-16	-16	0

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Quadratic twists for elliptic curve 2829d2

-4	-3	5	-23	41
45264s2	8487f2	70725p2	65067l2	115989l2

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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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