Cremona's table of elliptic curves

161 = 7 · 23

Field	Data	Notes
Atkin-Lehner	7- 23+	Signs for the Atkin-Lehner involutions
Class	161a	Isogeny class
Conductor	161	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	161 = 7 · 23	Discriminant
Eigenvalues	-1  0  2 7-  4  6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-4,-2]	[a1,a2,a3,a4,a6]
j	5545233/161	j-invariant
L	0.8628343267976	L(r)(E,1)/r!
Ω	3.4513373071904	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	2576l1 10304h1 1449e1 4025a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 161a2

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

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Quadratic twists for elliptic curve 161a2

-4	8	-3	5	-7	-11	13	17	-19	-23
2576l1	10304h1	1449e1	4025a1	1127a1	19481b1	27209d1	46529d1	58121b1	3703a1

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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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