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	1826a	Isogeny class
Conductor	1826	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	464	Modular degree for the optimal curve
Δ	-25158628 = -1 · 22 · 11 · 833	Discriminant
Eigenvalues	2+ -2  0 -1 11+  5 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-56,-294]	[a1,a2,a3,a4,a6]
j	-18927429625/25158628	j-invariant
L	0.55563557423168	L(r)(E,1)/r!
Ω	0.83345336134752	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	14608d1 58432f1 16434p1 45650r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1826a1

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	0	-1	+	5	-6	2	0	-6	2	5	0	8	-12	-6	12	2	-7	15	-7	2	-	6	2

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Quadratic twists for elliptic curve 1826a1

-4	8	-3	5	-7	-11
14608d1	58432f1	16434p1	45650r1	89474b1	20086d1

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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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