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	1	Product of Tamagawa factors cp
Δ	-297754 = -1 · 2 · 533	Discriminant
Eigenvalues	2- -2  3  2 -3 -4  3 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-9,-29]	[a1,a2,a3,a4,a6]
j	-81182737/297754	j-invariant
L	1.2619276862029	L(r)(E,1)/r!
Ω	1.2619276862029	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	848c2 3392i2 954f2 2650c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 106a2

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 106a2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	53
848c2	3392i2	954f2	2650c2	5194o2	12826c2	17914e2	30634f2	38266f2	56074g2	89146b2	101866q2	5618c2

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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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