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	24	Product of Tamagawa factors cp
deg	48	Modular degree for the optimal curve
Δ	-889192448 = -1 · 224 · 53	Discriminant
Eigenvalues	2-  1  0 -4  0  5 -3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-283,-2351]	[a1,a2,a3,a4,a6]
j	-2507141976625/889192448	j-invariant
L	1.5247984324071	L(r)(E,1)/r!
Ω	0.57179941215266	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	848b1 3392g1 954e1 2650b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 106c1

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 106c1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	53
848b1	3392g1	954e1	2650b1	5194n1	12826b1	17914a1	30634e1	38266e1	56074f1	89146a1	101866p1	5618b1

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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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