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	8	Product of Tamagawa factors cp
Δ	34000561 = 76 · 172	Discriminant
Eigenvalues	-1  0  2 7-  0  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-279,1838]	[a1,a2,a3,a4,a6]
j	20346417/289	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	4	Number of elements in the torsion subgroup
Twists	13328o2 53312o2 7497o2 20825o2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 833a2

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 833a2

-4	8	-3	5	-7	-11	17
13328o2	53312o2	7497o2	20825o2	17a2	100793m2	14161b2

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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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