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	4	Product of Tamagawa factors cp
Δ	-9826162129 = -1 · 76 · 174	Discriminant
Eigenvalues	-1  0  2 7-  0  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-34,4778]	[a1,a2,a3,a4,a6]
j	-35937/83521	j-invariant
L	1.0377918387896	L(r)(E,1)/r!
Ω	1.0377918387896	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	13328o4 53312o3 7497o4 20825o4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 833a4

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 833a4

-4	8	-3	5	-7	-11	17
13328o4	53312o3	7497o4	20825o4	17a1	100793m3	14161b4

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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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