Cremona's table of elliptic curves

833 = 7² · 17

Field	Data	Notes
Atkin-Lehner	7- 17+	Signs for the Atkin-Lehner involutions
Class	833a	Isogeny class
Conductor	833	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	2000033 = 76 · 17	Discriminant
Eigenvalues	-1  0  2 7-  0  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-4444,115126]	[a1,a2,a3,a4,a6]
j	82483294977/17	j-invariant
L	1.0377918387896	L(r)(E,1)/r!
Ω	2.0755836775792	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	13328o3 53312o4 7497o3 20825o3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 833a3

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	0	2	-	0	2	+	4	4	6	-4	-2	6	4	0	6	12	10	4	-4	6	12	4	-10	-2

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Quadratic twists for elliptic curve 833a3

-4	8	-3	5	-7	-11	17
13328o3	53312o4	7497o3	20825o3	17a3	100793m4	14161b3

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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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