Cremona's table of elliptic curves

826 = 2 · 7 · 59

Field	Data	Notes
Atkin-Lehner	2+ 7+ 59-	Signs for the Atkin-Lehner involutions
Class	826a	Isogeny class
Conductor	826	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	220	Modular degree for the optimal curve
Δ	-1983226 = -1 · 2 · 75 · 59	Discriminant
Eigenvalues	2+  2 -3 7+  6 -2  4  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,21,-49]	[a1,a2,a3,a4,a6]
j	949862087/1983226	j-invariant
L	1.3649054368815	L(r)(E,1)/r!
Ω	1.3649054368815	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6608d1 26432a1 7434g1 20650z1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 826a1

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	-3	+	6	-2	4	2	3	6	6	9	10	-4	-8	2	-	-10	4	0	-10	6	9	-1	-1

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Quadratic twists for elliptic curve 826a1

-4	8	-3	5	-7	-11	-59
6608d1	26432a1	7434g1	20650z1	5782b1	99946m1	48734c1

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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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