Cremona's table of elliptic curves

1826 = 2 · 11 · 83

Field	Data	Notes
Atkin-Lehner	2- 11- 83+	Signs for the Atkin-Lehner involutions
Class	1826b	Isogeny class
Conductor	1826	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	-14608 = -1 · 24 · 11 · 83	Discriminant
Eigenvalues	2-  0  0 -3 11-  1  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,5,-5]	[a1,a2,a3,a4,a6]
Generators	[1:0:1]	Generators of the group modulo torsion
j	16581375/14608	j-invariant
L	3.8836791426566	L(r)(E,1)/r!
Ω	2.1720069614006	Real period
R	0.44701504319214	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14608b1 58432b1 16434d1 45650h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1826b1

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
-	0	0	-3	-	1	0	-2	-6	2	4	-5	-10	-2	-8	0	4	-8	7	3	-9	-16	+	-18	16

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Quadratic twists for elliptic curve 1826b1

-4	8	-3	5	-7	-11
14608b1	58432b1	16434d1	45650h1	89474m1	20086a1

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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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