Cremona's table of elliptic curves

206 = 2 · 103

Field	Data	Notes
Atkin-Lehner	2+ 103-	Signs for the Atkin-Lehner involutions
Class	206a	Isogeny class
Conductor	206	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	15	Modular degree for the optimal curve
Δ	-412 = -1 · 22 · 103	Discriminant
Eigenvalues	2+  2  4  0 -6 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,2,0]	[a1,a2,a3,a4,a6]
j	357911/412	j-invariant
L	1.4310577333197	L(r)(E,1)/r!
Ω	2.8621154666394	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	1648a1 6592a1 1854j1 5150l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 206a1

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	4	0	-6	-2	2	-4	0	-6	8	8	2	2	-8	-12	12	10	-2	0	10	0	-4	2	14

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Quadratic twists for elliptic curve 206a1

-4	8	-3	5	-7	-11	13	17	-19	-23	-103
1648a1	6592a1	1854j1	5150l1	10094d1	24926f1	34814u1	59534c1	74366k1	108974b1	21218c1

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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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