Cremona's table of elliptic curves

106 = 2 · 53

Field	Data	Notes
Atkin-Lehner	2- 53+	Signs for the Atkin-Lehner involutions
Class	106c	Isogeny class
Conductor	106	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-38112512 = -1 · 28 · 533	Discriminant
Eigenvalues	2-  1  0 -4  0  5 -3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-24603,-1487407]	[a1,a2,a3,a4,a6]
j	-1646982616152408625/38112512	j-invariant
L	1.5247984324071	L(r)(E,1)/r!
Ω	0.19059980405089	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	848b2 3392g2 954e2 2650b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 106c2

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
-	1	0	-4	0	5	-3	-1	3	9	-4	5	6	-10	6	+	6	8	-4	-3	-4	-13	3	18	-7

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Quadratic twists for elliptic curve 106c2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	53
848b2	3392g2	954e2	2650b2	5194n2	12826b2	17914a2	30634e2	38266e2	56074f2	89146a2	101866p2	5618b2

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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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