Cremona's table of elliptic curves

106 = 2 · 53

Field	Data	Notes
Atkin-Lehner	2- 53+	Signs for the Atkin-Lehner involutions
Class	106a	Isogeny class
Conductor	106	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	6	Modular degree for the optimal curve
Δ	-424 = -1 · 23 · 53	Discriminant
Eigenvalues	2- -2  3  2 -3 -4  3 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,1,1]	[a1,a2,a3,a4,a6]
j	103823/424	j-invariant
L	1.2619276862029	L(r)(E,1)/r!
Ω	3.7857830586086	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	848c1 3392i1 954f1 2650c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 106a1

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	3	2	-3	-4	3	-4	-9	6	5	-10	6	-1	0	+	15	-10	-4	12	8	11	-6	9	-13

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Quadratic twists for elliptic curve 106a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	53
848c1	3392i1	954f1	2650c1	5194o1	12826c1	17914e1	30634f1	38266f1	56074g1	89146b1	101866q1	5618c1

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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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