Cremona's table of elliptic curves

106 = 2 · 53

Field	Data	Notes
Atkin-Lehner	2+ 53-	Signs for the Atkin-Lehner involutions
Class	106d	Isogeny class
Conductor	106	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	10	Modular degree for the optimal curve
Δ	-1696 = -1 · 25 · 53	Discriminant
Eigenvalues	2+  2  1 -2  5 -4  3 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-27,-67]	[a1,a2,a3,a4,a6]
j	-2305199161/1696	j-invariant
L	1.0421614431054	L(r)(E,1)/r!
Ω	1.0421614431054	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	848g1 3392d1 954i1 2650i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 106d1

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	1	-2	5	-4	3	-4	-3	-6	7	-6	2	7	4	-	7	2	16	12	-12	-7	-14	17	3

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Quadratic twists for elliptic curve 106d1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	53
848g1	3392d1	954i1	2650i1	5194i1	12826j1	17914j1	30634c1	38266j1	56074b1	89146g1	101866d1	5618g1

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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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